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Finding the Third Proportional to 121,442 and 256,740

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Solution

The third proportional to 121,442 and 256,740 is: 542,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,442 : 256,740 = 256,740 : x
  2. Step 2: Convert to fraction form
    121,442/256,740 = 256,740/x
  3. Step 3: Cross multiply
    121,442x = 256,740 × 256,740
  4. Step 4: Simplify right side
    121,442x = 65,915,427,600
  5. Step 5: Solve for x
    x = 65,915,427,600/121,442
  6. Step 6: Final answer
    x = 542,772.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.