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Finding the Third Proportional to 287,327 and 454,745

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Solution

The third proportional to 287,327 and 454,745 is: 719,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,327 : 454,745 = 454,745 : x
  2. Step 2: Convert to fraction form
    287,327/454,745 = 454,745/x
  3. Step 3: Cross multiply
    287,327x = 454,745 × 454,745
  4. Step 4: Simplify right side
    287,327x = 206,793,015,025
  5. Step 5: Solve for x
    x = 206,793,015,025/287,327
  6. Step 6: Final answer
    x = 719,713.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.