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Finding the Third Proportional to 531.09 and 1,138.71

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Solution

The third proportional to 531.09 and 1,138.71 is: 2,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 1,138.71 = 1,138.71 : x
  2. Step 2: Convert to fraction form
    531.09/1,138.71 = 1,138.71/x
  3. Step 3: Cross multiply
    531.09x = 1,138.71 × 1,138.71
  4. Step 4: Simplify right side
    531.09x = 1,296,652.59
  5. Step 5: Solve for x
    x = 1,296,652.59/531.09
  6. Step 6: Final answer
    x = 2,441.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.