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Finding the Third Proportional to 87,360.19 and 189,001.69

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Solution

The third proportional to 87,360.19 and 189,001.69 is: 408,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,360.19 : 189,001.69 = 189,001.69 : x
  2. Step 2: Convert to fraction form
    87,360.19/189,001.69 = 189,001.69/x
  3. Step 3: Cross multiply
    87,360.19x = 189,001.69 × 189,001.69
  4. Step 4: Simplify right side
    87,360.19x = 35,721,637,877.85
  5. Step 5: Solve for x
    x = 35,721,637,877.85/87,360.19
  6. Step 6: Final answer
    x = 408,900.65

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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.