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Finding the Third Proportional to 63,915 and 136,032

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Solution

The third proportional to 63,915 and 136,032 is: 289,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,915 : 136,032 = 136,032 : x
  2. Step 2: Convert to fraction form
    63,915/136,032 = 136,032/x
  3. Step 3: Cross multiply
    63,915x = 136,032 × 136,032
  4. Step 4: Simplify right side
    63,915x = 18,504,705,024
  5. Step 5: Solve for x
    x = 18,504,705,024/63,915
  6. Step 6: Final answer
    x = 289,520.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.