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Finding the Third Proportional to 120,924.56 and 256,254.75

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Solution

The third proportional to 120,924.56 and 256,254.75 is: 543,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924.56 : 256,254.75 = 256,254.75 : x
  2. Step 2: Convert to fraction form
    120,924.56/256,254.75 = 256,254.75/x
  3. Step 3: Cross multiply
    120,924.56x = 256,254.75 × 256,254.75
  4. Step 4: Simplify right side
    120,924.56x = 65,666,496,897.56
  5. Step 5: Solve for x
    x = 65,666,496,897.56/120,924.56
  6. Step 6: Final answer
    x = 543,036.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.