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Finding the Third Proportional to 978.75 and 2,114.44

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Solution

The third proportional to 978.75 and 2,114.44 is: 4,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 2,114.44 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    978.75/2,114.44 = 2,114.44/x
  3. Step 3: Cross multiply
    978.75x = 2,114.44 × 2,114.44
  4. Step 4: Simplify right side
    978.75x = 4,470,845.94
  5. Step 5: Solve for x
    x = 4,470,845.94/978.75
  6. Step 6: Final answer
    x = 4,567.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.