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Finding the Third Proportional to 109,486 and 236,966

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Solution

The third proportional to 109,486 and 236,966 is: 512,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486 : 236,966 = 236,966 : x
  2. Step 2: Convert to fraction form
    109,486/236,966 = 236,966/x
  3. Step 3: Cross multiply
    109,486x = 236,966 × 236,966
  4. Step 4: Simplify right side
    109,486x = 56,152,885,156
  5. Step 5: Solve for x
    x = 56,152,885,156/109,486
  6. Step 6: Final answer
    x = 512,877.31

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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.