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Finding the Third Proportional to 679,972 and 920,107

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Solution

The third proportional to 679,972 and 920,107 is: 1,245,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,972 : 920,107 = 920,107 : x
  2. Step 2: Convert to fraction form
    679,972/920,107 = 920,107/x
  3. Step 3: Cross multiply
    679,972x = 920,107 × 920,107
  4. Step 4: Simplify right side
    679,972x = 846,596,891,449
  5. Step 5: Solve for x
    x = 846,596,891,449/679,972
  6. Step 6: Final answer
    x = 1,245,046.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.