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Finding the Third Proportional to 86,821.88 and 187,849.13

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Solution

The third proportional to 86,821.88 and 187,849.13 is: 406,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.88 : 187,849.13 = 187,849.13 : x
  2. Step 2: Convert to fraction form
    86,821.88/187,849.13 = 187,849.13/x
  3. Step 3: Cross multiply
    86,821.88x = 187,849.13 × 187,849.13
  4. Step 4: Simplify right side
    86,821.88x = 35,287,293,763.27
  5. Step 5: Solve for x
    x = 35,287,293,763.27/86,821.88
  6. Step 6: Final answer
    x = 406,433.21

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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.