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Finding the Third Proportional to 616.50 and 1,352.81

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Solution

The third proportional to 616.50 and 1,352.81 is: 2,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 1,352.81 = 1,352.81 : x
  2. Step 2: Convert to fraction form
    616.50/1,352.81 = 1,352.81/x
  3. Step 3: Cross multiply
    616.50x = 1,352.81 × 1,352.81
  4. Step 4: Simplify right side
    616.50x = 1,830,101.66
  5. Step 5: Solve for x
    x = 1,830,101.66/616.50
  6. Step 6: Final answer
    x = 2,968.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.