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Finding the Third Proportional to 69,212.81 and 150,931.13

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Solution

The third proportional to 69,212.81 and 150,931.13 is: 329,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,212.81 : 150,931.13 = 150,931.13 : x
  2. Step 2: Convert to fraction form
    69,212.81/150,931.13 = 150,931.13/x
  3. Step 3: Cross multiply
    69,212.81x = 150,931.13 × 150,931.13
  4. Step 4: Simplify right side
    69,212.81x = 22,780,204,493.77
  5. Step 5: Solve for x
    x = 22,780,204,493.77/69,212.81
  6. Step 6: Final answer
    x = 329,132.77

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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.