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Finding the Third Proportional to 411,552 and 618,423

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Solution

The third proportional to 411,552 and 618,423 is: 929,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,552 : 618,423 = 618,423 : x
  2. Step 2: Convert to fraction form
    411,552/618,423 = 618,423/x
  3. Step 3: Cross multiply
    411,552x = 618,423 × 618,423
  4. Step 4: Simplify right side
    411,552x = 382,447,006,929
  5. Step 5: Solve for x
    x = 382,447,006,929/411,552
  6. Step 6: Final answer
    x = 929,279.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.