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Finding the Third Proportional to 155,568 and 234,780

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Solution

The third proportional to 155,568 and 234,780 is: 354,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,568 : 234,780 = 234,780 : x
  2. Step 2: Convert to fraction form
    155,568/234,780 = 234,780/x
  3. Step 3: Cross multiply
    155,568x = 234,780 × 234,780
  4. Step 4: Simplify right side
    155,568x = 55,121,648,400
  5. Step 5: Solve for x
    x = 55,121,648,400/155,568
  6. Step 6: Final answer
    x = 354,325.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.