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Finding the Third Proportional to 80,910 and 176,574

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Solution

The third proportional to 80,910 and 176,574 is: 385,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,910 : 176,574 = 176,574 : x
  2. Step 2: Convert to fraction form
    80,910/176,574 = 176,574/x
  3. Step 3: Cross multiply
    80,910x = 176,574 × 176,574
  4. Step 4: Simplify right side
    80,910x = 31,178,377,476
  5. Step 5: Solve for x
    x = 31,178,377,476/80,910
  6. Step 6: Final answer
    x = 385,346.40

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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.