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Finding the Third Proportional to 247,514 and 539,470

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Solution

The third proportional to 247,514 and 539,470 is: 1,175,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,514 : 539,470 = 539,470 : x
  2. Step 2: Convert to fraction form
    247,514/539,470 = 539,470/x
  3. Step 3: Cross multiply
    247,514x = 539,470 × 539,470
  4. Step 4: Simplify right side
    247,514x = 291,027,880,900
  5. Step 5: Solve for x
    x = 291,027,880,900/247,514
  6. Step 6: Final answer
    x = 1,175,803.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.