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Finding the Third Proportional to 125,600 and 189,680

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Solution

The third proportional to 125,600 and 189,680 is: 286,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,600 : 189,680 = 189,680 : x
  2. Step 2: Convert to fraction form
    125,600/189,680 = 189,680/x
  3. Step 3: Cross multiply
    125,600x = 189,680 × 189,680
  4. Step 4: Simplify right side
    125,600x = 35,978,502,400
  5. Step 5: Solve for x
    x = 35,978,502,400/125,600
  6. Step 6: Final answer
    x = 286,453.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.