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Finding the Third Proportional to 978.75 and 2,544.75

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Solution

The third proportional to 978.75 and 2,544.75 is: 6,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 2,544.75 = 2,544.75 : x
  2. Step 2: Convert to fraction form
    978.75/2,544.75 = 2,544.75/x
  3. Step 3: Cross multiply
    978.75x = 2,544.75 × 2,544.75
  4. Step 4: Simplify right side
    978.75x = 6,475,752.56
  5. Step 5: Solve for x
    x = 6,475,752.56/978.75
  6. Step 6: Final answer
    x = 6,616.35

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.