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Finding the Third Proportional to 485,778 and 679,304

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Solution

The third proportional to 485,778 and 679,304 is: 949,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,778 : 679,304 = 679,304 : x
  2. Step 2: Convert to fraction form
    485,778/679,304 = 679,304/x
  3. Step 3: Cross multiply
    485,778x = 679,304 × 679,304
  4. Step 4: Simplify right side
    485,778x = 461,453,924,416
  5. Step 5: Solve for x
    x = 461,453,924,416/485,778
  6. Step 6: Final answer
    x = 949,927.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.