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Finding the Third Proportional to 203,740 and 442,540

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Solution

The third proportional to 203,740 and 442,540 is: 961,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,740 : 442,540 = 442,540 : x
  2. Step 2: Convert to fraction form
    203,740/442,540 = 442,540/x
  3. Step 3: Cross multiply
    203,740x = 442,540 × 442,540
  4. Step 4: Simplify right side
    203,740x = 195,841,651,600
  5. Step 5: Solve for x
    x = 195,841,651,600/203,740
  6. Step 6: Final answer
    x = 961,233.20

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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.