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Finding the Third Proportional to 141,489 and 220,843

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Solution

The third proportional to 141,489 and 220,843 is: 344,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,489 : 220,843 = 220,843 : x
  2. Step 2: Convert to fraction form
    141,489/220,843 = 220,843/x
  3. Step 3: Cross multiply
    141,489x = 220,843 × 220,843
  4. Step 4: Simplify right side
    141,489x = 48,771,630,649
  5. Step 5: Solve for x
    x = 48,771,630,649/141,489
  6. Step 6: Final answer
    x = 344,702.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.