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Finding the Third Proportional to 120,825.56 and 177,539.06

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Solution

The third proportional to 120,825.56 and 177,539.06 is: 260,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,825.56 : 177,539.06 = 177,539.06 : x
  2. Step 2: Convert to fraction form
    120,825.56/177,539.06 = 177,539.06/x
  3. Step 3: Cross multiply
    120,825.56x = 177,539.06 × 177,539.06
  4. Step 4: Simplify right side
    120,825.56x = 31,520,118,713.38
  5. Step 5: Solve for x
    x = 31,520,118,713.38/120,825.56
  6. Step 6: Final answer
    x = 260,872.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.