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Finding the Third Proportional to 306,286.31 and 664,957.69

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Solution

The third proportional to 306,286.31 and 664,957.69 is: 1,443,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,286.31 : 664,957.69 = 664,957.69 : x
  2. Step 2: Convert to fraction form
    306,286.31/664,957.69 = 664,957.69/x
  3. Step 3: Cross multiply
    306,286.31x = 664,957.69 × 664,957.69
  4. Step 4: Simplify right side
    306,286.31x = 442,168,726,165.35
  5. Step 5: Solve for x
    x = 442,168,726,165.35/306,286.31
  6. Step 6: Final answer
    x = 1,443,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.