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Finding the Third Proportional to 142,646 and 220,757

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Solution

The third proportional to 142,646 and 220,757 is: 341,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646 : 220,757 = 220,757 : x
  2. Step 2: Convert to fraction form
    142,646/220,757 = 220,757/x
  3. Step 3: Cross multiply
    142,646x = 220,757 × 220,757
  4. Step 4: Simplify right side
    142,646x = 48,733,653,049
  5. Step 5: Solve for x
    x = 48,733,653,049/142,646
  6. Step 6: Final answer
    x = 341,640.52

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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.