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Finding the Third Proportional to 988.31 and 2,158.88

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Solution

The third proportional to 988.31 and 2,158.88 is: 4,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.31 : 2,158.88 = 2,158.88 : x
  2. Step 2: Convert to fraction form
    988.31/2,158.88 = 2,158.88/x
  3. Step 3: Cross multiply
    988.31x = 2,158.88 × 2,158.88
  4. Step 4: Simplify right side
    988.31x = 4,660,741.27
  5. Step 5: Solve for x
    x = 4,660,741.27/988.31
  6. Step 6: Final answer
    x = 4,715.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.