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Finding the Third Proportional to 256,555.50 and 397,288.50

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Solution

The third proportional to 256,555.50 and 397,288.50 is: 615,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,555.50 : 397,288.50 = 397,288.50 : x
  2. Step 2: Convert to fraction form
    256,555.50/397,288.50 = 397,288.50/x
  3. Step 3: Cross multiply
    256,555.50x = 397,288.50 × 397,288.50
  4. Step 4: Simplify right side
    256,555.50x = 157,838,152,232.25
  5. Step 5: Solve for x
    x = 157,838,152,232.25/256,555.50
  6. Step 6: Final answer
    x = 615,220.30

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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.