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Finding the Third Proportional to 180,140 and 391,996

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Solution

The third proportional to 180,140 and 391,996 is: 853,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,140 : 391,996 = 391,996 : x
  2. Step 2: Convert to fraction form
    180,140/391,996 = 391,996/x
  3. Step 3: Cross multiply
    180,140x = 391,996 × 391,996
  4. Step 4: Simplify right side
    180,140x = 153,660,864,016
  5. Step 5: Solve for x
    x = 153,660,864,016/180,140
  6. Step 6: Final answer
    x = 853,008.02

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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.