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Finding the Third Proportional to 154,820.11 and 256,230.84

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Solution

The third proportional to 154,820.11 and 256,230.84 is: 424,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,820.11 : 256,230.84 = 256,230.84 : x
  2. Step 2: Convert to fraction form
    154,820.11/256,230.84 = 256,230.84/x
  3. Step 3: Cross multiply
    154,820.11x = 256,230.84 × 256,230.84
  4. Step 4: Simplify right side
    154,820.11x = 65,654,245,288.84
  5. Step 5: Solve for x
    x = 65,654,245,288.84/154,820.11
  6. Step 6: Final answer
    x = 424,067.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.