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Finding the Third Proportional to 87,448 and 189,440

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Solution

The third proportional to 87,448 and 189,440 is: 410,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,448 : 189,440 = 189,440 : x
  2. Step 2: Convert to fraction form
    87,448/189,440 = 189,440/x
  3. Step 3: Cross multiply
    87,448x = 189,440 × 189,440
  4. Step 4: Simplify right side
    87,448x = 35,887,513,600
  5. Step 5: Solve for x
    x = 35,887,513,600/87,448
  6. Step 6: Final answer
    x = 410,386.90

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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.