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Finding the Third Proportional to 68,372 and 148,402

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Solution

The third proportional to 68,372 and 148,402 is: 322,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,372 : 148,402 = 148,402 : x
  2. Step 2: Convert to fraction form
    68,372/148,402 = 148,402/x
  3. Step 3: Cross multiply
    68,372x = 148,402 × 148,402
  4. Step 4: Simplify right side
    68,372x = 22,023,153,604
  5. Step 5: Solve for x
    x = 22,023,153,604/68,372
  6. Step 6: Final answer
    x = 322,107.79

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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.