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Finding the Third Proportional to 453,487 and 655,548

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Solution

The third proportional to 453,487 and 655,548 is: 947,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,487 : 655,548 = 655,548 : x
  2. Step 2: Convert to fraction form
    453,487/655,548 = 655,548/x
  3. Step 3: Cross multiply
    453,487x = 655,548 × 655,548
  4. Step 4: Simplify right side
    453,487x = 429,743,180,304
  5. Step 5: Solve for x
    x = 429,743,180,304/453,487
  6. Step 6: Final answer
    x = 947,641.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.