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Finding the Third Proportional to 989.69 and 1,532.38

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Solution

The third proportional to 989.69 and 1,532.38 is: 2,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.69 : 1,532.38 = 1,532.38 : x
  2. Step 2: Convert to fraction form
    989.69/1,532.38 = 1,532.38/x
  3. Step 3: Cross multiply
    989.69x = 1,532.38 × 1,532.38
  4. Step 4: Simplify right side
    989.69x = 2,348,173.14
  5. Step 5: Solve for x
    x = 2,348,173.14/989.69
  6. Step 6: Final answer
    x = 2,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.