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Finding the Third Proportional to 84,009.66 and 181,387.69

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Solution

The third proportional to 84,009.66 and 181,387.69 is: 391,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.66 : 181,387.69 = 181,387.69 : x
  2. Step 2: Convert to fraction form
    84,009.66/181,387.69 = 181,387.69/x
  3. Step 3: Cross multiply
    84,009.66x = 181,387.69 × 181,387.69
  4. Step 4: Simplify right side
    84,009.66x = 32,901,493,176.60
  5. Step 5: Solve for x
    x = 32,901,493,176.60/84,009.66
  6. Step 6: Final answer
    x = 391,639.42

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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.