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Finding the Third Proportional to 145,716 and 196,861

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Solution

The third proportional to 145,716 and 196,861 is: 265,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,716 : 196,861 = 196,861 : x
  2. Step 2: Convert to fraction form
    145,716/196,861 = 196,861/x
  3. Step 3: Cross multiply
    145,716x = 196,861 × 196,861
  4. Step 4: Simplify right side
    145,716x = 38,754,253,321
  5. Step 5: Solve for x
    x = 38,754,253,321/145,716
  6. Step 6: Final answer
    x = 265,957.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.