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Finding the Third Proportional to 120,814 and 261,539

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Solution

The third proportional to 120,814 and 261,539 is: 566,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,814 : 261,539 = 261,539 : x
  2. Step 2: Convert to fraction form
    120,814/261,539 = 261,539/x
  3. Step 3: Cross multiply
    120,814x = 261,539 × 261,539
  4. Step 4: Simplify right side
    120,814x = 68,402,648,521
  5. Step 5: Solve for x
    x = 68,402,648,521/120,814
  6. Step 6: Final answer
    x = 566,181.47

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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.