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Finding the Third Proportional to 442,011 and 679,797

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Solution

The third proportional to 442,011 and 679,797 is: 1,045,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011 : 679,797 = 679,797 : x
  2. Step 2: Convert to fraction form
    442,011/679,797 = 679,797/x
  3. Step 3: Cross multiply
    442,011x = 679,797 × 679,797
  4. Step 4: Simplify right side
    442,011x = 462,123,961,209
  5. Step 5: Solve for x
    x = 462,123,961,209/442,011
  6. Step 6: Final answer
    x = 1,045,503.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.