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Finding the Third Proportional to 157,073 and 249,689

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Solution

The third proportional to 157,073 and 249,689 is: 396,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,073 : 249,689 = 249,689 : x
  2. Step 2: Convert to fraction form
    157,073/249,689 = 249,689/x
  3. Step 3: Cross multiply
    157,073x = 249,689 × 249,689
  4. Step 4: Simplify right side
    157,073x = 62,344,596,721
  5. Step 5: Solve for x
    x = 62,344,596,721/157,073
  6. Step 6: Final answer
    x = 396,914.79

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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.