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Finding the Third Proportional to 160,459 and 249,464

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Solution

The third proportional to 160,459 and 249,464 is: 387,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,459 : 249,464 = 249,464 : x
  2. Step 2: Convert to fraction form
    160,459/249,464 = 249,464/x
  3. Step 3: Cross multiply
    160,459x = 249,464 × 249,464
  4. Step 4: Simplify right side
    160,459x = 62,232,287,296
  5. Step 5: Solve for x
    x = 62,232,287,296/160,459
  6. Step 6: Final answer
    x = 387,839.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.