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Finding the Third Proportional to 631,767 and 1,491,387

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Solution

The third proportional to 631,767 and 1,491,387 is: 3,520,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,767 : 1,491,387 = 1,491,387 : x
  2. Step 2: Convert to fraction form
    631,767/1,491,387 = 1,491,387/x
  3. Step 3: Cross multiply
    631,767x = 1,491,387 × 1,491,387
  4. Step 4: Simplify right side
    631,767x = 2,224,235,183,769
  5. Step 5: Solve for x
    x = 2,224,235,183,769/631,767
  6. Step 6: Final answer
    x = 3,520,657.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.