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Finding the Third Proportional to 135,049 and 289,721

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Solution

The third proportional to 135,049 and 289,721 is: 621,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,049 : 289,721 = 289,721 : x
  2. Step 2: Convert to fraction form
    135,049/289,721 = 289,721/x
  3. Step 3: Cross multiply
    135,049x = 289,721 × 289,721
  4. Step 4: Simplify right side
    135,049x = 83,938,257,841
  5. Step 5: Solve for x
    x = 83,938,257,841/135,049
  6. Step 6: Final answer
    x = 621,539.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.