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Finding the Third Proportional to 514,767 and 787,460

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Solution

The third proportional to 514,767 and 787,460 is: 1,204,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,767 : 787,460 = 787,460 : x
  2. Step 2: Convert to fraction form
    514,767/787,460 = 787,460/x
  3. Step 3: Cross multiply
    514,767x = 787,460 × 787,460
  4. Step 4: Simplify right side
    514,767x = 620,093,251,600
  5. Step 5: Solve for x
    x = 620,093,251,600/514,767
  6. Step 6: Final answer
    x = 1,204,609.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.