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Finding the Third Proportional to 125,940 and 196,566

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Solution

The third proportional to 125,940 and 196,566 is: 306,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,940 : 196,566 = 196,566 : x
  2. Step 2: Convert to fraction form
    125,940/196,566 = 196,566/x
  3. Step 3: Cross multiply
    125,940x = 196,566 × 196,566
  4. Step 4: Simplify right side
    125,940x = 38,638,192,356
  5. Step 5: Solve for x
    x = 38,638,192,356/125,940
  6. Step 6: Final answer
    x = 306,798.41

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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.