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Finding the Third Proportional to 109,170 and 236,772

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Solution

The third proportional to 109,170 and 236,772 is: 513,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 236,772 = 236,772 : x
  2. Step 2: Convert to fraction form
    109,170/236,772 = 236,772/x
  3. Step 3: Cross multiply
    109,170x = 236,772 × 236,772
  4. Step 4: Simplify right side
    109,170x = 56,060,979,984
  5. Step 5: Solve for x
    x = 56,060,979,984/109,170
  6. Step 6: Final answer
    x = 513,520.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.