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Finding the Third Proportional to 485,780 and 679,307

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Solution

The third proportional to 485,780 and 679,307 is: 949,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,780 : 679,307 = 679,307 : x
  2. Step 2: Convert to fraction form
    485,780/679,307 = 679,307/x
  3. Step 3: Cross multiply
    485,780x = 679,307 × 679,307
  4. Step 4: Simplify right side
    485,780x = 461,458,000,249
  5. Step 5: Solve for x
    x = 461,458,000,249/485,780
  6. Step 6: Final answer
    x = 949,932.07

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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.