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Finding the Third Proportional to 100,455.75 and 136,431

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Solution

The third proportional to 100,455.75 and 136,431 is: 185,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455.75 : 136,431 = 136,431 : x
  2. Step 2: Convert to fraction form
    100,455.75/136,431 = 136,431/x
  3. Step 3: Cross multiply
    100,455.75x = 136,431 × 136,431
  4. Step 4: Simplify right side
    100,455.75x = 18,613,417,761
  5. Step 5: Solve for x
    x = 18,613,417,761/100,455.75
  6. Step 6: Final answer
    x = 185,289.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.