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Finding the Third Proportional to 87,844.50 and 189,417

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Solution

The third proportional to 87,844.50 and 189,417 is: 408,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,844.50 : 189,417 = 189,417 : x
  2. Step 2: Convert to fraction form
    87,844.50/189,417 = 189,417/x
  3. Step 3: Cross multiply
    87,844.50x = 189,417 × 189,417
  4. Step 4: Simplify right side
    87,844.50x = 35,878,799,889
  5. Step 5: Solve for x
    x = 35,878,799,889/87,844.50
  6. Step 6: Final answer
    x = 408,435.36

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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.