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Finding the Third Proportional to 197,862 and 402,711

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Solution

The third proportional to 197,862 and 402,711 is: 819,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,862 : 402,711 = 402,711 : x
  2. Step 2: Convert to fraction form
    197,862/402,711 = 402,711/x
  3. Step 3: Cross multiply
    197,862x = 402,711 × 402,711
  4. Step 4: Simplify right side
    197,862x = 162,176,149,521
  5. Step 5: Solve for x
    x = 162,176,149,521/197,862
  6. Step 6: Final answer
    x = 819,642.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.