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Finding the Third Proportional to 181,248 and 391,608

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Solution

The third proportional to 181,248 and 391,608 is: 846,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,248 : 391,608 = 391,608 : x
  2. Step 2: Convert to fraction form
    181,248/391,608 = 391,608/x
  3. Step 3: Cross multiply
    181,248x = 391,608 × 391,608
  4. Step 4: Simplify right side
    181,248x = 153,356,825,664
  5. Step 5: Solve for x
    x = 153,356,825,664/181,248
  6. Step 6: Final answer
    x = 846,115.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.