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Finding the Third Proportional to 161,278.88 and 256,218.75

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Solution

The third proportional to 161,278.88 and 256,218.75 is: 407,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,278.88 : 256,218.75 = 256,218.75 : x
  2. Step 2: Convert to fraction form
    161,278.88/256,218.75 = 256,218.75/x
  3. Step 3: Cross multiply
    161,278.88x = 256,218.75 × 256,218.75
  4. Step 4: Simplify right side
    161,278.88x = 65,648,047,851.56
  5. Step 5: Solve for x
    x = 65,648,047,851.56/161,278.88
  6. Step 6: Final answer
    x = 407,046.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.