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Finding the Third Proportional to 281,116 and 605,216

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Solution

The third proportional to 281,116 and 605,216 is: 1,302,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,116 : 605,216 = 605,216 : x
  2. Step 2: Convert to fraction form
    281,116/605,216 = 605,216/x
  3. Step 3: Cross multiply
    281,116x = 605,216 × 605,216
  4. Step 4: Simplify right side
    281,116x = 366,286,406,656
  5. Step 5: Solve for x
    x = 366,286,406,656/281,116
  6. Step 6: Final answer
    x = 1,302,972.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.