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Finding the Third Proportional to 130,680 and 201,912.75

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Solution

The third proportional to 130,680 and 201,912.75 is: 311,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,680 : 201,912.75 = 201,912.75 : x
  2. Step 2: Convert to fraction form
    130,680/201,912.75 = 201,912.75/x
  3. Step 3: Cross multiply
    130,680x = 201,912.75 × 201,912.75
  4. Step 4: Simplify right side
    130,680x = 40,768,758,612.56
  5. Step 5: Solve for x
    x = 40,768,758,612.56/130,680
  6. Step 6: Final answer
    x = 311,973.97

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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.