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Finding the Third Proportional to 316,753 and 490,874

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Solution

The third proportional to 316,753 and 490,874 is: 760,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,753 : 490,874 = 490,874 : x
  2. Step 2: Convert to fraction form
    316,753/490,874 = 490,874/x
  3. Step 3: Cross multiply
    316,753x = 490,874 × 490,874
  4. Step 4: Simplify right side
    316,753x = 240,957,283,876
  5. Step 5: Solve for x
    x = 240,957,283,876/316,753
  6. Step 6: Final answer
    x = 760,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.