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Finding the Third Proportional to 528.05 and 1,243.13

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Solution

The third proportional to 528.05 and 1,243.13 is: 2,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.05 : 1,243.13 = 1,243.13 : x
  2. Step 2: Convert to fraction form
    528.05/1,243.13 = 1,243.13/x
  3. Step 3: Cross multiply
    528.05x = 1,243.13 × 1,243.13
  4. Step 4: Simplify right side
    528.05x = 1,545,359.77
  5. Step 5: Solve for x
    x = 1,545,359.77/528.05
  6. Step 6: Final answer
    x = 2,926.56

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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.