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Finding the Third Proportional to 87,729 and 189,487

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Solution

The third proportional to 87,729 and 189,487 is: 409,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,729 : 189,487 = 189,487 : x
  2. Step 2: Convert to fraction form
    87,729/189,487 = 189,487/x
  3. Step 3: Cross multiply
    87,729x = 189,487 × 189,487
  4. Step 4: Simplify right side
    87,729x = 35,905,323,169
  5. Step 5: Solve for x
    x = 35,905,323,169/87,729
  6. Step 6: Final answer
    x = 409,275.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.