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Finding the Third Proportional to 155,186 and 247,947

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Solution

The third proportional to 155,186 and 247,947 is: 396,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,186 : 247,947 = 247,947 : x
  2. Step 2: Convert to fraction form
    155,186/247,947 = 247,947/x
  3. Step 3: Cross multiply
    155,186x = 247,947 × 247,947
  4. Step 4: Simplify right side
    155,186x = 61,477,714,809
  5. Step 5: Solve for x
    x = 61,477,714,809/155,186
  6. Step 6: Final answer
    x = 396,155.03

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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.