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Finding the Third Proportional to 388,294.88 and 588,456.56

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Solution

The third proportional to 388,294.88 and 588,456.56 is: 891,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,294.88 : 588,456.56 = 588,456.56 : x
  2. Step 2: Convert to fraction form
    388,294.88/588,456.56 = 588,456.56/x
  3. Step 3: Cross multiply
    388,294.88x = 588,456.56 × 588,456.56
  4. Step 4: Simplify right side
    388,294.88x = 346,281,125,949.32
  5. Step 5: Solve for x
    x = 346,281,125,949.32/388,294.88
  6. Step 6: Final answer
    x = 891,799.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.