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Finding the Third Proportional to 155,202 and 247,974

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Solution

The third proportional to 155,202 and 247,974 is: 396,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,202 : 247,974 = 247,974 : x
  2. Step 2: Convert to fraction form
    155,202/247,974 = 247,974/x
  3. Step 3: Cross multiply
    155,202x = 247,974 × 247,974
  4. Step 4: Simplify right side
    155,202x = 61,491,104,676
  5. Step 5: Solve for x
    x = 61,491,104,676/155,202
  6. Step 6: Final answer
    x = 396,200.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.