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Finding the Third Proportional to 316,693.13 and 491,109.75

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Solution

The third proportional to 316,693.13 and 491,109.75 is: 761,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,693.13 : 491,109.75 = 491,109.75 : x
  2. Step 2: Convert to fraction form
    316,693.13/491,109.75 = 491,109.75/x
  3. Step 3: Cross multiply
    316,693.13x = 491,109.75 × 491,109.75
  4. Step 4: Simplify right side
    316,693.13x = 241,188,786,545.06
  5. Step 5: Solve for x
    x = 241,188,786,545.06/316,693.13
  6. Step 6: Final answer
    x = 761,585.17

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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.