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Finding the Third Proportional to 63,123 and 138,125

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Solution

The third proportional to 63,123 and 138,125 is: 302,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,123 : 138,125 = 138,125 : x
  2. Step 2: Convert to fraction form
    63,123/138,125 = 138,125/x
  3. Step 3: Cross multiply
    63,123x = 138,125 × 138,125
  4. Step 4: Simplify right side
    63,123x = 19,078,515,625
  5. Step 5: Solve for x
    x = 19,078,515,625/63,123
  6. Step 6: Final answer
    x = 302,243.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.