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Finding the Third Proportional to 109,290 and 236,721

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Solution

The third proportional to 109,290 and 236,721 is: 512,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,290 : 236,721 = 236,721 : x
  2. Step 2: Convert to fraction form
    109,290/236,721 = 236,721/x
  3. Step 3: Cross multiply
    109,290x = 236,721 × 236,721
  4. Step 4: Simplify right side
    109,290x = 56,036,831,841
  5. Step 5: Solve for x
    x = 56,036,831,841/109,290
  6. Step 6: Final answer
    x = 512,735.22

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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.