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Finding the Third Proportional to 136,899 and 294,169.50

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Solution

The third proportional to 136,899 and 294,169.50 is: 632,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,899 : 294,169.50 = 294,169.50 : x
  2. Step 2: Convert to fraction form
    136,899/294,169.50 = 294,169.50/x
  3. Step 3: Cross multiply
    136,899x = 294,169.50 × 294,169.50
  4. Step 4: Simplify right side
    136,899x = 86,535,694,730.25
  5. Step 5: Solve for x
    x = 86,535,694,730.25/136,899
  6. Step 6: Final answer
    x = 632,113.42

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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.