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Finding the Third Proportional to 108,221 and 154,447

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Solution

The third proportional to 108,221 and 154,447 is: 220,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,221 : 154,447 = 154,447 : x
  2. Step 2: Convert to fraction form
    108,221/154,447 = 154,447/x
  3. Step 3: Cross multiply
    108,221x = 154,447 × 154,447
  4. Step 4: Simplify right side
    108,221x = 23,853,875,809
  5. Step 5: Solve for x
    x = 23,853,875,809/108,221
  6. Step 6: Final answer
    x = 220,418.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.