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Finding the Third Proportional to 64,809 and 138,600

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Solution

The third proportional to 64,809 and 138,600 is: 296,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 138,600 = 138,600 : x
  2. Step 2: Convert to fraction form
    64,809/138,600 = 138,600/x
  3. Step 3: Cross multiply
    64,809x = 138,600 × 138,600
  4. Step 4: Simplify right side
    64,809x = 19,209,960,000
  5. Step 5: Solve for x
    x = 19,209,960,000/64,809
  6. Step 6: Final answer
    x = 296,408.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.