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Finding the Third Proportional to 132,685.50 and 195,113.25

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Solution

The third proportional to 132,685.50 and 195,113.25 is: 286,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,685.50 : 195,113.25 = 195,113.25 : x
  2. Step 2: Convert to fraction form
    132,685.50/195,113.25 = 195,113.25/x
  3. Step 3: Cross multiply
    132,685.50x = 195,113.25 × 195,113.25
  4. Step 4: Simplify right side
    132,685.50x = 38,069,180,325.56
  5. Step 5: Solve for x
    x = 38,069,180,325.56/132,685.50
  6. Step 6: Final answer
    x = 286,912.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.