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Finding the Third Proportional to 140,481 and 222,385.50

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Solution

The third proportional to 140,481 and 222,385.50 is: 352,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,481 : 222,385.50 = 222,385.50 : x
  2. Step 2: Convert to fraction form
    140,481/222,385.50 = 222,385.50/x
  3. Step 3: Cross multiply
    140,481x = 222,385.50 × 222,385.50
  4. Step 4: Simplify right side
    140,481x = 49,455,310,610.25
  5. Step 5: Solve for x
    x = 49,455,310,610.25/140,481
  6. Step 6: Final answer
    x = 352,042.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.