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Finding the Third Proportional to 87,358 and 189,548

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Solution

The third proportional to 87,358 and 189,548 is: 411,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,358 : 189,548 = 189,548 : x
  2. Step 2: Convert to fraction form
    87,358/189,548 = 189,548/x
  3. Step 3: Cross multiply
    87,358x = 189,548 × 189,548
  4. Step 4: Simplify right side
    87,358x = 35,928,444,304
  5. Step 5: Solve for x
    x = 35,928,444,304/87,358
  6. Step 6: Final answer
    x = 411,278.24

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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.