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Finding the Third Proportional to 528.64 and 1,142.07

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Solution

The third proportional to 528.64 and 1,142.07 is: 2,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.64 : 1,142.07 = 1,142.07 : x
  2. Step 2: Convert to fraction form
    528.64/1,142.07 = 1,142.07/x
  3. Step 3: Cross multiply
    528.64x = 1,142.07 × 1,142.07
  4. Step 4: Simplify right side
    528.64x = 1,304,320.14
  5. Step 5: Solve for x
    x = 1,304,320.14/528.64
  6. Step 6: Final answer
    x = 2,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.