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Finding the Third Proportional to 528.31 and 1,164.63

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Solution

The third proportional to 528.31 and 1,164.63 is: 2,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.31 : 1,164.63 = 1,164.63 : x
  2. Step 2: Convert to fraction form
    528.31/1,164.63 = 1,164.63/x
  3. Step 3: Cross multiply
    528.31x = 1,164.63 × 1,164.63
  4. Step 4: Simplify right side
    528.31x = 1,356,351.39
  5. Step 5: Solve for x
    x = 1,356,351.39/528.31
  6. Step 6: Final answer
    x = 2,567.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.