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Finding the Third Proportional to 154,824.75 and 256,237.88

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Solution

The third proportional to 154,824.75 and 256,237.88 is: 424,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,824.75 : 256,237.88 = 256,237.88 : x
  2. Step 2: Convert to fraction form
    154,824.75/256,237.88 = 256,237.88/x
  3. Step 3: Cross multiply
    154,824.75x = 256,237.88 × 256,237.88
  4. Step 4: Simplify right side
    154,824.75x = 65,657,848,584.52
  5. Step 5: Solve for x
    x = 65,657,848,584.52/154,824.75
  6. Step 6: Final answer
    x = 424,078.51

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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.