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Finding the Third Proportional to 70,502.25 and 109,218.75

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Solution

The third proportional to 70,502.25 and 109,218.75 is: 169,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.25 : 109,218.75 = 109,218.75 : x
  2. Step 2: Convert to fraction form
    70,502.25/109,218.75 = 109,218.75/x
  3. Step 3: Cross multiply
    70,502.25x = 109,218.75 × 109,218.75
  4. Step 4: Simplify right side
    70,502.25x = 11,928,735,351.56
  5. Step 5: Solve for x
    x = 11,928,735,351.56/70,502.25
  6. Step 6: Final answer
    x = 169,196.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.