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Finding the Third Proportional to 120,316 and 261,412

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Solution

The third proportional to 120,316 and 261,412 is: 567,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,316 : 261,412 = 261,412 : x
  2. Step 2: Convert to fraction form
    120,316/261,412 = 261,412/x
  3. Step 3: Cross multiply
    120,316x = 261,412 × 261,412
  4. Step 4: Simplify right side
    120,316x = 68,336,233,744
  5. Step 5: Solve for x
    x = 68,336,233,744/120,316
  6. Step 6: Final answer
    x = 567,972.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.