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Finding the Third Proportional to 514,959 and 769,521

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Solution

The third proportional to 514,959 and 769,521 is: 1,149,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,959 : 769,521 = 769,521 : x
  2. Step 2: Convert to fraction form
    514,959/769,521 = 769,521/x
  3. Step 3: Cross multiply
    514,959x = 769,521 × 769,521
  4. Step 4: Simplify right side
    514,959x = 592,162,569,441
  5. Step 5: Solve for x
    x = 592,162,569,441/514,959
  6. Step 6: Final answer
    x = 1,149,921.78

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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.