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Finding the Third Proportional to 34,188 and 52,480.50

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Solution

The third proportional to 34,188 and 52,480.50 is: 80,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188 : 52,480.50 = 52,480.50 : x
  2. Step 2: Convert to fraction form
    34,188/52,480.50 = 52,480.50/x
  3. Step 3: Cross multiply
    34,188x = 52,480.50 × 52,480.50
  4. Step 4: Simplify right side
    34,188x = 2,754,202,880.25
  5. Step 5: Solve for x
    x = 2,754,202,880.25/34,188
  6. Step 6: Final answer
    x = 80,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.