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Finding the Third Proportional to 180,899 and 391,930

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Solution

The third proportional to 180,899 and 391,930 is: 849,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,899 : 391,930 = 391,930 : x
  2. Step 2: Convert to fraction form
    180,899/391,930 = 391,930/x
  3. Step 3: Cross multiply
    180,899x = 391,930 × 391,930
  4. Step 4: Simplify right side
    180,899x = 153,609,124,900
  5. Step 5: Solve for x
    x = 153,609,124,900/180,899
  6. Step 6: Final answer
    x = 849,143.03

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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.