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Finding the Third Proportional to 978.38 and 2,214.94

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Solution

The third proportional to 978.38 and 2,214.94 is: 5,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.38 : 2,214.94 = 2,214.94 : x
  2. Step 2: Convert to fraction form
    978.38/2,214.94 = 2,214.94/x
  3. Step 3: Cross multiply
    978.38x = 2,214.94 × 2,214.94
  4. Step 4: Simplify right side
    978.38x = 4,905,948.13
  5. Step 5: Solve for x
    x = 4,905,948.13/978.38
  6. Step 6: Final answer
    x = 5,014.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.