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Finding the Third Proportional to 688,561 and 1,491,467

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Solution

The third proportional to 688,561 and 1,491,467 is: 3,230,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,561 : 1,491,467 = 1,491,467 : x
  2. Step 2: Convert to fraction form
    688,561/1,491,467 = 1,491,467/x
  3. Step 3: Cross multiply
    688,561x = 1,491,467 × 1,491,467
  4. Step 4: Simplify right side
    688,561x = 2,224,473,812,089
  5. Step 5: Solve for x
    x = 2,224,473,812,089/688,561
  6. Step 6: Final answer
    x = 3,230,612.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.