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Finding the Third Proportional to 84,601.13 and 128,256.75

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Solution

The third proportional to 84,601.13 and 128,256.75 is: 194,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,601.13 : 128,256.75 = 128,256.75 : x
  2. Step 2: Convert to fraction form
    84,601.13/128,256.75 = 128,256.75/x
  3. Step 3: Cross multiply
    84,601.13x = 128,256.75 × 128,256.75
  4. Step 4: Simplify right side
    84,601.13x = 16,449,793,920.56
  5. Step 5: Solve for x
    x = 16,449,793,920.56/84,601.13
  6. Step 6: Final answer
    x = 194,439.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.