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Finding the Third Proportional to 976.39 and 1,572.32

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Solution

The third proportional to 976.39 and 1,572.32 is: 2,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.39 : 1,572.32 = 1,572.32 : x
  2. Step 2: Convert to fraction form
    976.39/1,572.32 = 1,572.32/x
  3. Step 3: Cross multiply
    976.39x = 1,572.32 × 1,572.32
  4. Step 4: Simplify right side
    976.39x = 2,472,195.00
  5. Step 5: Solve for x
    x = 2,472,195.00/976.39
  6. Step 6: Final answer
    x = 2,531.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.