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Finding the Third Proportional to 78,690.38 and 169,944.75

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Solution

The third proportional to 78,690.38 and 169,944.75 is: 367,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,690.38 : 169,944.75 = 169,944.75 : x
  2. Step 2: Convert to fraction form
    78,690.38/169,944.75 = 169,944.75/x
  3. Step 3: Cross multiply
    78,690.38x = 169,944.75 × 169,944.75
  4. Step 4: Simplify right side
    78,690.38x = 28,881,218,052.56
  5. Step 5: Solve for x
    x = 28,881,218,052.56/78,690.38
  6. Step 6: Final answer
    x = 367,023.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.