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Finding the Third Proportional to 256,957.31 and 385,458.75

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Solution

The third proportional to 256,957.31 and 385,458.75 is: 578,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,957.31 : 385,458.75 = 385,458.75 : x
  2. Step 2: Convert to fraction form
    256,957.31/385,458.75 = 385,458.75/x
  3. Step 3: Cross multiply
    256,957.31x = 385,458.75 × 385,458.75
  4. Step 4: Simplify right side
    256,957.31x = 148,578,447,951.56
  5. Step 5: Solve for x
    x = 148,578,447,951.56/256,957.31
  6. Step 6: Final answer
    x = 578,222.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.