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Finding the Third Proportional to 316,694.34 and 490,789.03

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Solution

The third proportional to 316,694.34 and 490,789.03 is: 760,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,694.34 : 490,789.03 = 490,789.03 : x
  2. Step 2: Convert to fraction form
    316,694.34/490,789.03 = 490,789.03/x
  3. Step 3: Cross multiply
    316,694.34x = 490,789.03 × 490,789.03
  4. Step 4: Simplify right side
    316,694.34x = 240,873,873,195.31
  5. Step 5: Solve for x
    x = 240,873,873,195.31/316,694.34
  6. Step 6: Final answer
    x = 760,587.86

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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.