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Finding the Third Proportional to 154,487.25 and 239,081.63

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Solution

The third proportional to 154,487.25 and 239,081.63 is: 369,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,487.25 : 239,081.63 = 239,081.63 : x
  2. Step 2: Convert to fraction form
    154,487.25/239,081.63 = 239,081.63/x
  3. Step 3: Cross multiply
    154,487.25x = 239,081.63 × 239,081.63
  4. Step 4: Simplify right side
    154,487.25x = 57,160,023,412.64
  5. Step 5: Solve for x
    x = 57,160,023,412.64/154,487.25
  6. Step 6: Final answer
    x = 369,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.