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Finding the Third Proportional to 308,972.81 and 491,658.19

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Solution

The third proportional to 308,972.81 and 491,658.19 is: 782,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,972.81 : 491,658.19 = 491,658.19 : x
  2. Step 2: Convert to fraction form
    308,972.81/491,658.19 = 491,658.19/x
  3. Step 3: Cross multiply
    308,972.81x = 491,658.19 × 491,658.19
  4. Step 4: Simplify right side
    308,972.81x = 241,727,773,335.79
  5. Step 5: Solve for x
    x = 241,727,773,335.79/308,972.81
  6. Step 6: Final answer
    x = 782,359.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.