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Finding the Third Proportional to 120,826 and 272,987

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Solution

The third proportional to 120,826 and 272,987 is: 616,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,826 : 272,987 = 272,987 : x
  2. Step 2: Convert to fraction form
    120,826/272,987 = 272,987/x
  3. Step 3: Cross multiply
    120,826x = 272,987 × 272,987
  4. Step 4: Simplify right side
    120,826x = 74,521,902,169
  5. Step 5: Solve for x
    x = 74,521,902,169/120,826
  6. Step 6: Final answer
    x = 616,770.42

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.