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Finding the Third Proportional to 510,435 and 769,599

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Solution

The third proportional to 510,435 and 769,599 is: 1,160,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,435 : 769,599 = 769,599 : x
  2. Step 2: Convert to fraction form
    510,435/769,599 = 769,599/x
  3. Step 3: Cross multiply
    510,435x = 769,599 × 769,599
  4. Step 4: Simplify right side
    510,435x = 592,282,620,801
  5. Step 5: Solve for x
    x = 592,282,620,801/510,435
  6. Step 6: Final answer
    x = 1,160,348.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.