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Finding the Third Proportional to 512,564 and 814,624

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Solution

The third proportional to 512,564 and 814,624 is: 1,294,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,564 : 814,624 = 814,624 : x
  2. Step 2: Convert to fraction form
    512,564/814,624 = 814,624/x
  3. Step 3: Cross multiply
    512,564x = 814,624 × 814,624
  4. Step 4: Simplify right side
    512,564x = 663,612,261,376
  5. Step 5: Solve for x
    x = 663,612,261,376/512,564
  6. Step 6: Final answer
    x = 1,294,691.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.