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Finding the Third Proportional to 125,520 and 195,690

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Solution

The third proportional to 125,520 and 195,690 is: 305,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,520 : 195,690 = 195,690 : x
  2. Step 2: Convert to fraction form
    125,520/195,690 = 195,690/x
  3. Step 3: Cross multiply
    125,520x = 195,690 × 195,690
  4. Step 4: Simplify right side
    125,520x = 38,294,576,100
  5. Step 5: Solve for x
    x = 38,294,576,100/125,520
  6. Step 6: Final answer
    x = 305,087.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.