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Finding the Third Proportional to 120,864 and 266,784

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Solution

The third proportional to 120,864 and 266,784 is: 588,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864 : 266,784 = 266,784 : x
  2. Step 2: Convert to fraction form
    120,864/266,784 = 266,784/x
  3. Step 3: Cross multiply
    120,864x = 266,784 × 266,784
  4. Step 4: Simplify right side
    120,864x = 71,173,702,656
  5. Step 5: Solve for x
    x = 71,173,702,656/120,864
  6. Step 6: Final answer
    x = 588,874.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.