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Finding the Third Proportional to 531.56 and 991.69

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Solution

The third proportional to 531.56 and 991.69 is: 1,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 991.69 = 991.69 : x
  2. Step 2: Convert to fraction form
    531.56/991.69 = 991.69/x
  3. Step 3: Cross multiply
    531.56x = 991.69 × 991.69
  4. Step 4: Simplify right side
    531.56x = 983,444.10
  5. Step 5: Solve for x
    x = 983,444.10/531.56
  6. Step 6: Final answer
    x = 1,850.10

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.