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Finding the Third Proportional to 81,012 and 176,550

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Solution

The third proportional to 81,012 and 176,550 is: 384,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,012 : 176,550 = 176,550 : x
  2. Step 2: Convert to fraction form
    81,012/176,550 = 176,550/x
  3. Step 3: Cross multiply
    81,012x = 176,550 × 176,550
  4. Step 4: Simplify right side
    81,012x = 31,169,902,500
  5. Step 5: Solve for x
    x = 31,169,902,500/81,012
  6. Step 6: Final answer
    x = 384,756.61

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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.