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Finding the Third Proportional to 71,426 and 136,372

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Solution

The third proportional to 71,426 and 136,372 is: 260,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426 : 136,372 = 136,372 : x
  2. Step 2: Convert to fraction form
    71,426/136,372 = 136,372/x
  3. Step 3: Cross multiply
    71,426x = 136,372 × 136,372
  4. Step 4: Simplify right side
    71,426x = 18,597,322,384
  5. Step 5: Solve for x
    x = 18,597,322,384/71,426
  6. Step 6: Final answer
    x = 260,371.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.