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Finding the Third Proportional to 761,478 and 1,138,387

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Solution

The third proportional to 761,478 and 1,138,387 is: 1,701,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,478 : 1,138,387 = 1,138,387 : x
  2. Step 2: Convert to fraction form
    761,478/1,138,387 = 1,138,387/x
  3. Step 3: Cross multiply
    761,478x = 1,138,387 × 1,138,387
  4. Step 4: Simplify right side
    761,478x = 1,295,924,961,769
  5. Step 5: Solve for x
    x = 1,295,924,961,769/761,478
  6. Step 6: Final answer
    x = 1,701,854.76

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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.