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Finding the Third Proportional to 3,032 and 5,114.50

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Solution

The third proportional to 3,032 and 5,114.50 is: 8,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032 : 5,114.50 = 5,114.50 : x
  2. Step 2: Convert to fraction form
    3,032/5,114.50 = 5,114.50/x
  3. Step 3: Cross multiply
    3,032x = 5,114.50 × 5,114.50
  4. Step 4: Simplify right side
    3,032x = 26,158,110.25
  5. Step 5: Solve for x
    x = 26,158,110.25/3,032
  6. Step 6: Final answer
    x = 8,627.35

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.