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Finding the Third Proportional to 31,050 and 69,126

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Solution

The third proportional to 31,050 and 69,126 is: 153,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050 : 69,126 = 69,126 : x
  2. Step 2: Convert to fraction form
    31,050/69,126 = 69,126/x
  3. Step 3: Cross multiply
    31,050x = 69,126 × 69,126
  4. Step 4: Simplify right side
    31,050x = 4,778,403,876
  5. Step 5: Solve for x
    x = 4,778,403,876/31,050
  6. Step 6: Final answer
    x = 153,893.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.