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Finding the Third Proportional to 218,592 and 320,112

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Solution

The third proportional to 218,592 and 320,112 is: 468,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,592 : 320,112 = 320,112 : x
  2. Step 2: Convert to fraction form
    218,592/320,112 = 320,112/x
  3. Step 3: Cross multiply
    218,592x = 320,112 × 320,112
  4. Step 4: Simplify right side
    218,592x = 102,471,692,544
  5. Step 5: Solve for x
    x = 102,471,692,544/218,592
  6. Step 6: Final answer
    x = 468,780.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.