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Finding the Third Proportional to 136,805,734,162.50 and 294,200,260,893

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Solution

The third proportional to 136,805,734,162.50 and 294,200,260,893 is: 632,676,649,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,805,734,162.50 : 294,200,260,893 = 294,200,260,893 : x
  2. Step 2: Convert to fraction form
    136,805,734,162.50/294,200,260,893 = 294,200,260,893/x
  3. Step 3: Cross multiply
    136,805,734,162.50x = 294,200,260,893 × 294,200,260,893
  4. Step 4: Simplify right side
    136,805,734,162.50x = 86,553,793,509,509,258,280,960
  5. Step 5: Solve for x
    x = 86,553,793,509,509,258,280,960/136,805,734,162.50
  6. Step 6: Final answer
    x = 632,676,649,406.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.