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Finding the Third Proportional to 154,996.59 and 219,380.34

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Solution

The third proportional to 154,996.59 and 219,380.34 is: 310,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,996.59 : 219,380.34 = 219,380.34 : x
  2. Step 2: Convert to fraction form
    154,996.59/219,380.34 = 219,380.34/x
  3. Step 3: Cross multiply
    154,996.59x = 219,380.34 × 219,380.34
  4. Step 4: Simplify right side
    154,996.59x = 48,127,735,223.87
  5. Step 5: Solve for x
    x = 48,127,735,223.87/154,996.59
  6. Step 6: Final answer
    x = 310,508.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.