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Finding the Third Proportional to 308,056 and 457,566

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Solution

The third proportional to 308,056 and 457,566 is: 679,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,056 : 457,566 = 457,566 : x
  2. Step 2: Convert to fraction form
    308,056/457,566 = 457,566/x
  3. Step 3: Cross multiply
    308,056x = 457,566 × 457,566
  4. Step 4: Simplify right side
    308,056x = 209,366,644,356
  5. Step 5: Solve for x
    x = 209,366,644,356/308,056
  6. Step 6: Final answer
    x = 679,638.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.