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Finding the Third Proportional to 180,548 and 391,228

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Solution

The third proportional to 180,548 and 391,228 is: 847,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,548 : 391,228 = 391,228 : x
  2. Step 2: Convert to fraction form
    180,548/391,228 = 391,228/x
  3. Step 3: Cross multiply
    180,548x = 391,228 × 391,228
  4. Step 4: Simplify right side
    180,548x = 153,059,347,984
  5. Step 5: Solve for x
    x = 153,059,347,984/180,548
  6. Step 6: Final answer
    x = 847,748.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.