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Finding the Third Proportional to 120,819 and 261,548

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Solution

The third proportional to 120,819 and 261,548 is: 566,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,819 : 261,548 = 261,548 : x
  2. Step 2: Convert to fraction form
    120,819/261,548 = 261,548/x
  3. Step 3: Cross multiply
    120,819x = 261,548 × 261,548
  4. Step 4: Simplify right side
    120,819x = 68,407,356,304
  5. Step 5: Solve for x
    x = 68,407,356,304/120,819
  6. Step 6: Final answer
    x = 566,197.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.