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Finding the Third Proportional to 142,279 and 206,074.50

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Solution

The third proportional to 142,279 and 206,074.50 is: 298,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279 : 206,074.50 = 206,074.50 : x
  2. Step 2: Convert to fraction form
    142,279/206,074.50 = 206,074.50/x
  3. Step 3: Cross multiply
    142,279x = 206,074.50 × 206,074.50
  4. Step 4: Simplify right side
    142,279x = 42,466,699,550.25
  5. Step 5: Solve for x
    x = 42,466,699,550.25/142,279
  6. Step 6: Final answer
    x = 298,474.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.