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Finding the Third Proportional to 129,528.56 and 199,829.81

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Solution

The third proportional to 129,528.56 and 199,829.81 is: 308,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,528.56 : 199,829.81 = 199,829.81 : x
  2. Step 2: Convert to fraction form
    129,528.56/199,829.81 = 199,829.81/x
  3. Step 3: Cross multiply
    129,528.56x = 199,829.81 × 199,829.81
  4. Step 4: Simplify right side
    129,528.56x = 39,931,953,963.79
  5. Step 5: Solve for x
    x = 39,931,953,963.79/129,528.56
  6. Step 6: Final answer
    x = 308,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.