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Finding the Third Proportional to 87,417 and 189,522

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Solution

The third proportional to 87,417 and 189,522 is: 410,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,417 : 189,522 = 189,522 : x
  2. Step 2: Convert to fraction form
    87,417/189,522 = 189,522/x
  3. Step 3: Cross multiply
    87,417x = 189,522 × 189,522
  4. Step 4: Simplify right side
    87,417x = 35,918,588,484
  5. Step 5: Solve for x
    x = 35,918,588,484/87,417
  6. Step 6: Final answer
    x = 410,887.91

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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.