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Finding the Third Proportional to 81,070 and 176,754

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Solution

The third proportional to 81,070 and 176,754 is: 385,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,070 : 176,754 = 176,754 : x
  2. Step 2: Convert to fraction form
    81,070/176,754 = 176,754/x
  3. Step 3: Cross multiply
    81,070x = 176,754 × 176,754
  4. Step 4: Simplify right side
    81,070x = 31,241,976,516
  5. Step 5: Solve for x
    x = 31,241,976,516/81,070
  6. Step 6: Final answer
    x = 385,370.38

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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.