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Finding the Third Proportional to 432,514 and 688,739

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Solution

The third proportional to 432,514 and 688,739 is: 1,096,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,514 : 688,739 = 688,739 : x
  2. Step 2: Convert to fraction form
    432,514/688,739 = 688,739/x
  3. Step 3: Cross multiply
    432,514x = 688,739 × 688,739
  4. Step 4: Simplify right side
    432,514x = 474,361,410,121
  5. Step 5: Solve for x
    x = 474,361,410,121/432,514
  6. Step 6: Final answer
    x = 1,096,753.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.