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Finding the Third Proportional to 64,203 and 137,311

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Solution

The third proportional to 64,203 and 137,311 is: 293,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,203 : 137,311 = 137,311 : x
  2. Step 2: Convert to fraction form
    64,203/137,311 = 137,311/x
  3. Step 3: Cross multiply
    64,203x = 137,311 × 137,311
  4. Step 4: Simplify right side
    64,203x = 18,854,310,721
  5. Step 5: Solve for x
    x = 18,854,310,721/64,203
  6. Step 6: Final answer
    x = 293,667.13

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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.