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Finding the Third Proportional to 179,805 and 272,987

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Solution

The third proportional to 179,805 and 272,987 is: 414,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,805 : 272,987 = 272,987 : x
  2. Step 2: Convert to fraction form
    179,805/272,987 = 272,987/x
  3. Step 3: Cross multiply
    179,805x = 272,987 × 272,987
  4. Step 4: Simplify right side
    179,805x = 74,521,902,169
  5. Step 5: Solve for x
    x = 74,521,902,169/179,805
  6. Step 6: Final answer
    x = 414,459.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.