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Finding the Third Proportional to 218,772 and 342,720

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Solution

The third proportional to 218,772 and 342,720 is: 536,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,772 : 342,720 = 342,720 : x
  2. Step 2: Convert to fraction form
    218,772/342,720 = 342,720/x
  3. Step 3: Cross multiply
    218,772x = 342,720 × 342,720
  4. Step 4: Simplify right side
    218,772x = 117,456,998,400
  5. Step 5: Solve for x
    x = 117,456,998,400/218,772
  6. Step 6: Final answer
    x = 536,892.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.