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Finding the Third Proportional to 2,545.50 and 5,010

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Solution

The third proportional to 2,545.50 and 5,010 is: 9,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.50 : 5,010 = 5,010 : x
  2. Step 2: Convert to fraction form
    2,545.50/5,010 = 5,010/x
  3. Step 3: Cross multiply
    2,545.50x = 5,010 × 5,010
  4. Step 4: Simplify right side
    2,545.50x = 25,100,100
  5. Step 5: Solve for x
    x = 25,100,100/2,545.50
  6. Step 6: Final answer
    x = 9,860.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.