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Finding the Third Proportional to 81,098.40 and 177,984.21

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Solution

The third proportional to 81,098.40 and 177,984.21 is: 390,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,098.40 : 177,984.21 = 177,984.21 : x
  2. Step 2: Convert to fraction form
    81,098.40/177,984.21 = 177,984.21/x
  3. Step 3: Cross multiply
    81,098.40x = 177,984.21 × 177,984.21
  4. Step 4: Simplify right side
    81,098.40x = 31,678,379,343.04
  5. Step 5: Solve for x
    x = 31,678,379,343.04/81,098.40
  6. Step 6: Final answer
    x = 390,616.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.