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Finding the Third Proportional to 218,821.50 and 515,193.75

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Solution

The third proportional to 218,821.50 and 515,193.75 is: 1,212,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821.50 : 515,193.75 = 515,193.75 : x
  2. Step 2: Convert to fraction form
    218,821.50/515,193.75 = 515,193.75/x
  3. Step 3: Cross multiply
    218,821.50x = 515,193.75 × 515,193.75
  4. Step 4: Simplify right side
    218,821.50x = 265,424,600,039.06
  5. Step 5: Solve for x
    x = 265,424,600,039.06/218,821.50
  6. Step 6: Final answer
    x = 1,212,973.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.