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Finding the Third Proportional to 218,557.50 and 468,219

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Solution

The third proportional to 218,557.50 and 468,219 is: 1,003,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,557.50 : 468,219 = 468,219 : x
  2. Step 2: Convert to fraction form
    218,557.50/468,219 = 468,219/x
  3. Step 3: Cross multiply
    218,557.50x = 468,219 × 468,219
  4. Step 4: Simplify right side
    218,557.50x = 219,229,031,961
  5. Step 5: Solve for x
    x = 219,229,031,961/218,557.50
  6. Step 6: Final answer
    x = 1,003,072.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.