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Finding the Third Proportional to 80,580 and 176,712

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Solution

The third proportional to 80,580 and 176,712 is: 387,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 176,712 = 176,712 : x
  2. Step 2: Convert to fraction form
    80,580/176,712 = 176,712/x
  3. Step 3: Cross multiply
    80,580x = 176,712 × 176,712
  4. Step 4: Simplify right side
    80,580x = 31,227,130,944
  5. Step 5: Solve for x
    x = 31,227,130,944/80,580
  6. Step 6: Final answer
    x = 387,529.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.