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Finding the Third Proportional to 4,972.50 and 6,454.50

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Solution

The third proportional to 4,972.50 and 6,454.50 is: 8,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.50 : 6,454.50 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    4,972.50/6,454.50 = 6,454.50/x
  3. Step 3: Cross multiply
    4,972.50x = 6,454.50 × 6,454.50
  4. Step 4: Simplify right side
    4,972.50x = 41,660,570.25
  5. Step 5: Solve for x
    x = 41,660,570.25/4,972.50
  6. Step 6: Final answer
    x = 8,378.19

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.