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Finding the Third Proportional to 256,260.59 and 397,821.38

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Solution

The third proportional to 256,260.59 and 397,821.38 is: 617,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,260.59 : 397,821.38 = 397,821.38 : x
  2. Step 2: Convert to fraction form
    256,260.59/397,821.38 = 397,821.38/x
  3. Step 3: Cross multiply
    256,260.59x = 397,821.38 × 397,821.38
  4. Step 4: Simplify right side
    256,260.59x = 158,261,846,406.89
  5. Step 5: Solve for x
    x = 158,261,846,406.89/256,260.59
  6. Step 6: Final answer
    x = 617,581.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.