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Finding the Third Proportional to 157,071 and 249,686

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Solution

The third proportional to 157,071 and 249,686 is: 396,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,071 : 249,686 = 249,686 : x
  2. Step 2: Convert to fraction form
    157,071/249,686 = 249,686/x
  3. Step 3: Cross multiply
    157,071x = 249,686 × 249,686
  4. Step 4: Simplify right side
    157,071x = 62,343,098,596
  5. Step 5: Solve for x
    x = 62,343,098,596/157,071
  6. Step 6: Final answer
    x = 396,910.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.