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Finding the Third Proportional to 109,912 and 236,888

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Solution

The third proportional to 109,912 and 236,888 is: 510,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912 : 236,888 = 236,888 : x
  2. Step 2: Convert to fraction form
    109,912/236,888 = 236,888/x
  3. Step 3: Cross multiply
    109,912x = 236,888 × 236,888
  4. Step 4: Simplify right side
    109,912x = 56,115,924,544
  5. Step 5: Solve for x
    x = 56,115,924,544/109,912
  6. Step 6: Final answer
    x = 510,553.21

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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.