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Finding the Third Proportional to 81,042 and 176,838

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Solution

The third proportional to 81,042 and 176,838 is: 385,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,042 : 176,838 = 176,838 : x
  2. Step 2: Convert to fraction form
    81,042/176,838 = 176,838/x
  3. Step 3: Cross multiply
    81,042x = 176,838 × 176,838
  4. Step 4: Simplify right side
    81,042x = 31,271,678,244
  5. Step 5: Solve for x
    x = 31,271,678,244/81,042
  6. Step 6: Final answer
    x = 385,870.02

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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.