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Finding the Third Proportional to 109,872 and 236,808

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Solution

The third proportional to 109,872 and 236,808 is: 510,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,872 : 236,808 = 236,808 : x
  2. Step 2: Convert to fraction form
    109,872/236,808 = 236,808/x
  3. Step 3: Cross multiply
    109,872x = 236,808 × 236,808
  4. Step 4: Simplify right side
    109,872x = 56,078,028,864
  5. Step 5: Solve for x
    x = 56,078,028,864/109,872
  6. Step 6: Final answer
    x = 510,394.18

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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.