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Finding the Third Proportional to 531.19 and 1,130.72

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Solution

The third proportional to 531.19 and 1,130.72 is: 2,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.19 : 1,130.72 = 1,130.72 : x
  2. Step 2: Convert to fraction form
    531.19/1,130.72 = 1,130.72/x
  3. Step 3: Cross multiply
    531.19x = 1,130.72 × 1,130.72
  4. Step 4: Simplify right side
    531.19x = 1,278,524.89
  5. Step 5: Solve for x
    x = 1,278,524.89/531.19
  6. Step 6: Final answer
    x = 2,406.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.