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Finding the Third Proportional to 188,836.31 and 386,395.31

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Solution

The third proportional to 188,836.31 and 386,395.31 is: 790,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,836.31 : 386,395.31 = 386,395.31 : x
  2. Step 2: Convert to fraction form
    188,836.31/386,395.31 = 386,395.31/x
  3. Step 3: Cross multiply
    188,836.31x = 386,395.31 × 386,395.31
  4. Step 4: Simplify right side
    188,836.31x = 149,301,337,521.97
  5. Step 5: Solve for x
    x = 149,301,337,521.97/188,836.31
  6. Step 6: Final answer
    x = 790,638.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.