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Finding the Third Proportional to 100,969.50 and 220,275

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Solution

The third proportional to 100,969.50 and 220,275 is: 480,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,969.50 : 220,275 = 220,275 : x
  2. Step 2: Convert to fraction form
    100,969.50/220,275 = 220,275/x
  3. Step 3: Cross multiply
    100,969.50x = 220,275 × 220,275
  4. Step 4: Simplify right side
    100,969.50x = 48,521,075,625
  5. Step 5: Solve for x
    x = 48,521,075,625/100,969.50
  6. Step 6: Final answer
    x = 480,551.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.