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Finding the Third Proportional to 109,628 and 236,743

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Solution

The third proportional to 109,628 and 236,743 is: 511,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,628 : 236,743 = 236,743 : x
  2. Step 2: Convert to fraction form
    109,628/236,743 = 236,743/x
  3. Step 3: Cross multiply
    109,628x = 236,743 × 236,743
  4. Step 4: Simplify right side
    109,628x = 56,047,248,049
  5. Step 5: Solve for x
    x = 56,047,248,049/109,628
  6. Step 6: Final answer
    x = 511,249.39

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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.