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Finding the Third Proportional to 136,420 and 207,384

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Solution

The third proportional to 136,420 and 207,384 is: 315,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,420 : 207,384 = 207,384 : x
  2. Step 2: Convert to fraction form
    136,420/207,384 = 207,384/x
  3. Step 3: Cross multiply
    136,420x = 207,384 × 207,384
  4. Step 4: Simplify right side
    136,420x = 43,008,123,456
  5. Step 5: Solve for x
    x = 43,008,123,456/136,420
  6. Step 6: Final answer
    x = 315,262.60

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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.