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Finding the Third Proportional to 154,998.84 and 219,383.72

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Solution

The third proportional to 154,998.84 and 219,383.72 is: 310,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,998.84 : 219,383.72 = 219,383.72 : x
  2. Step 2: Convert to fraction form
    154,998.84/219,383.72 = 219,383.72/x
  3. Step 3: Cross multiply
    154,998.84x = 219,383.72 × 219,383.72
  4. Step 4: Simplify right side
    154,998.84x = 48,129,216,052.58
  5. Step 5: Solve for x
    x = 48,129,216,052.58/154,998.84
  6. Step 6: Final answer
    x = 310,513.39

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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.