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Finding the Third Proportional to 64,671.75 and 140,734.13

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Solution

The third proportional to 64,671.75 and 140,734.13 is: 306,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671.75 : 140,734.13 = 140,734.13 : x
  2. Step 2: Convert to fraction form
    64,671.75/140,734.13 = 140,734.13/x
  3. Step 3: Cross multiply
    64,671.75x = 140,734.13 × 140,734.13
  4. Step 4: Simplify right side
    64,671.75x = 19,806,093,939.52
  5. Step 5: Solve for x
    x = 19,806,093,939.52/64,671.75
  6. Step 6: Final answer
    x = 306,255.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.