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Finding the Third Proportional to 154,978.31 and 208,529.44

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Solution

The third proportional to 154,978.31 and 208,529.44 is: 280,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.31 : 208,529.44 = 208,529.44 : x
  2. Step 2: Convert to fraction form
    154,978.31/208,529.44 = 208,529.44/x
  3. Step 3: Cross multiply
    154,978.31x = 208,529.44 × 208,529.44
  4. Step 4: Simplify right side
    154,978.31x = 43,484,526,304.07
  5. Step 5: Solve for x
    x = 43,484,526,304.07/154,978.31
  6. Step 6: Final answer
    x = 280,584.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.