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Finding the Third Proportional to 256,648.50 and 382,776.75

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Solution

The third proportional to 256,648.50 and 382,776.75 is: 570,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,648.50 : 382,776.75 = 382,776.75 : x
  2. Step 2: Convert to fraction form
    256,648.50/382,776.75 = 382,776.75/x
  3. Step 3: Cross multiply
    256,648.50x = 382,776.75 × 382,776.75
  4. Step 4: Simplify right side
    256,648.50x = 146,518,040,340.56
  5. Step 5: Solve for x
    x = 146,518,040,340.56/256,648.50
  6. Step 6: Final answer
    x = 570,889.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.