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Finding the Third Proportional to 978.38 and 1,572.19

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Solution

The third proportional to 978.38 and 1,572.19 is: 2,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.38 : 1,572.19 = 1,572.19 : x
  2. Step 2: Convert to fraction form
    978.38/1,572.19 = 1,572.19/x
  3. Step 3: Cross multiply
    978.38x = 1,572.19 × 1,572.19
  4. Step 4: Simplify right side
    978.38x = 2,471,773.54
  5. Step 5: Solve for x
    x = 2,471,773.54/978.38
  6. Step 6: Final answer
    x = 2,526.41

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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.