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Finding the Third Proportional to 125,820 and 196,344

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Solution

The third proportional to 125,820 and 196,344 is: 306,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,820 : 196,344 = 196,344 : x
  2. Step 2: Convert to fraction form
    125,820/196,344 = 196,344/x
  3. Step 3: Cross multiply
    125,820x = 196,344 × 196,344
  4. Step 4: Simplify right side
    125,820x = 38,550,966,336
  5. Step 5: Solve for x
    x = 38,550,966,336/125,820
  6. Step 6: Final answer
    x = 306,397.76

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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.