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Finding the Third Proportional to 111,925 and 155,127

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Solution

The third proportional to 111,925 and 155,127 is: 215,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,925 : 155,127 = 155,127 : x
  2. Step 2: Convert to fraction form
    111,925/155,127 = 155,127/x
  3. Step 3: Cross multiply
    111,925x = 155,127 × 155,127
  4. Step 4: Simplify right side
    111,925x = 24,064,386,129
  5. Step 5: Solve for x
    x = 24,064,386,129/111,925
  6. Step 6: Final answer
    x = 215,004.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.