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Finding the Third Proportional to 421.66 and 978.22

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Solution

The third proportional to 421.66 and 978.22 is: 2,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.66 : 978.22 = 978.22 : x
  2. Step 2: Convert to fraction form
    421.66/978.22 = 978.22/x
  3. Step 3: Cross multiply
    421.66x = 978.22 × 978.22
  4. Step 4: Simplify right side
    421.66x = 956,919.57
  5. Step 5: Solve for x
    x = 956,919.57/421.66
  6. Step 6: Final answer
    x = 2,269.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.