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Finding the Third Proportional to 87,681.50 and 141,205

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Solution

The third proportional to 87,681.50 and 141,205 is: 227,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681.50 : 141,205 = 141,205 : x
  2. Step 2: Convert to fraction form
    87,681.50/141,205 = 141,205/x
  3. Step 3: Cross multiply
    87,681.50x = 141,205 × 141,205
  4. Step 4: Simplify right side
    87,681.50x = 19,938,852,025
  5. Step 5: Solve for x
    x = 19,938,852,025/87,681.50
  6. Step 6: Final answer
    x = 227,400.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.