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Finding the Third Proportional to 1,528.12 and 2,220.10

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Solution

The third proportional to 1,528.12 and 2,220.10 is: 3,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.12 : 2,220.10 = 2,220.10 : x
  2. Step 2: Convert to fraction form
    1,528.12/2,220.10 = 2,220.10/x
  3. Step 3: Cross multiply
    1,528.12x = 2,220.10 × 2,220.10
  4. Step 4: Simplify right side
    1,528.12x = 4,928,861.79
  5. Step 5: Solve for x
    x = 4,928,861.79/1,528.12
  6. Step 6: Final answer
    x = 3,225.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.