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Finding the Third Proportional to 83,089.13 and 181,215.56

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Solution

The third proportional to 83,089.13 and 181,215.56 is: 395,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.13 : 181,215.56 = 181,215.56 : x
  2. Step 2: Convert to fraction form
    83,089.13/181,215.56 = 181,215.56/x
  3. Step 3: Cross multiply
    83,089.13x = 181,215.56 × 181,215.56
  4. Step 4: Simplify right side
    83,089.13x = 32,839,080,092.19
  5. Step 5: Solve for x
    x = 32,839,080,092.19/83,089.13
  6. Step 6: Final answer
    x = 395,227.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.