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Finding the Third Proportional to 514,947 and 769,503

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Solution

The third proportional to 514,947 and 769,503 is: 1,149,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,947 : 769,503 = 769,503 : x
  2. Step 2: Convert to fraction form
    514,947/769,503 = 769,503/x
  3. Step 3: Cross multiply
    514,947x = 769,503 × 769,503
  4. Step 4: Simplify right side
    514,947x = 592,134,867,009
  5. Step 5: Solve for x
    x = 592,134,867,009/514,947
  6. Step 6: Final answer
    x = 1,149,894.78

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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.