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Finding the Third Proportional to 256,594.50 and 398,287.13

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Solution

The third proportional to 256,594.50 and 398,287.13 is: 618,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,594.50 : 398,287.13 = 398,287.13 : x
  2. Step 2: Convert to fraction form
    256,594.50/398,287.13 = 398,287.13/x
  3. Step 3: Cross multiply
    256,594.50x = 398,287.13 × 398,287.13
  4. Step 4: Simplify right side
    256,594.50x = 158,632,633,940.77
  5. Step 5: Solve for x
    x = 158,632,633,940.77/256,594.50
  6. Step 6: Final answer
    x = 618,223.05

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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.