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Finding the Third Proportional to 81,585 and 178,114

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Solution

The third proportional to 81,585 and 178,114 is: 388,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,585 : 178,114 = 178,114 : x
  2. Step 2: Convert to fraction form
    81,585/178,114 = 178,114/x
  3. Step 3: Cross multiply
    81,585x = 178,114 × 178,114
  4. Step 4: Simplify right side
    81,585x = 31,724,596,996
  5. Step 5: Solve for x
    x = 31,724,596,996/81,585
  6. Step 6: Final answer
    x = 388,853.31

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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.