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Finding the Third Proportional to 63,408 and 133,889

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Solution

The third proportional to 63,408 and 133,889 is: 282,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,408 : 133,889 = 133,889 : x
  2. Step 2: Convert to fraction form
    63,408/133,889 = 133,889/x
  3. Step 3: Cross multiply
    63,408x = 133,889 × 133,889
  4. Step 4: Simplify right side
    63,408x = 17,926,264,321
  5. Step 5: Solve for x
    x = 17,926,264,321/63,408
  6. Step 6: Final answer
    x = 282,712.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.