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Finding the Third Proportional to 80,415 and 174,438

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Solution

The third proportional to 80,415 and 174,438 is: 378,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415 : 174,438 = 174,438 : x
  2. Step 2: Convert to fraction form
    80,415/174,438 = 174,438/x
  3. Step 3: Cross multiply
    80,415x = 174,438 × 174,438
  4. Step 4: Simplify right side
    80,415x = 30,428,615,844
  5. Step 5: Solve for x
    x = 30,428,615,844/80,415
  6. Step 6: Final answer
    x = 378,394.78

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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.