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Finding the Third Proportional to 978.17 and 2,129.33

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Solution

The third proportional to 978.17 and 2,129.33 is: 4,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.17 : 2,129.33 = 2,129.33 : x
  2. Step 2: Convert to fraction form
    978.17/2,129.33 = 2,129.33/x
  3. Step 3: Cross multiply
    978.17x = 2,129.33 × 2,129.33
  4. Step 4: Simplify right side
    978.17x = 4,534,067.38
  5. Step 5: Solve for x
    x = 4,534,067.38/978.17
  6. Step 6: Final answer
    x = 4,635.26

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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.