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Finding the Third Proportional to 137,241 and 219,165.75

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Solution

The third proportional to 137,241 and 219,165.75 is: 349,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,241 : 219,165.75 = 219,165.75 : x
  2. Step 2: Convert to fraction form
    137,241/219,165.75 = 219,165.75/x
  3. Step 3: Cross multiply
    137,241x = 219,165.75 × 219,165.75
  4. Step 4: Simplify right side
    137,241x = 48,033,625,973.06
  5. Step 5: Solve for x
    x = 48,033,625,973.06/137,241
  6. Step 6: Final answer
    x = 349,994.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.