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Finding the Third Proportional to 34,043,680.50 and 73,046,784.75

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Solution

The third proportional to 34,043,680.50 and 73,046,784.75 is: 156,734,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043,680.50 : 73,046,784.75 = 73,046,784.75 : x
  2. Step 2: Convert to fraction form
    34,043,680.50/73,046,784.75 = 73,046,784.75/x
  3. Step 3: Cross multiply
    34,043,680.50x = 73,046,784.75 × 73,046,784.75
  4. Step 4: Simplify right side
    34,043,680.50x = 5,335,832,762,312,833
  5. Step 5: Solve for x
    x = 5,335,832,762,312,833/34,043,680.50
  6. Step 6: Final answer
    x = 156,734,897.17

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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.