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Finding the Third Proportional to 155,511 and 220,233

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Solution

The third proportional to 155,511 and 220,233 is: 311,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511 : 220,233 = 220,233 : x
  2. Step 2: Convert to fraction form
    155,511/220,233 = 220,233/x
  3. Step 3: Cross multiply
    155,511x = 220,233 × 220,233
  4. Step 4: Simplify right side
    155,511x = 48,502,574,289
  5. Step 5: Solve for x
    x = 48,502,574,289/155,511
  6. Step 6: Final answer
    x = 311,891.60

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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.