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Finding the Third Proportional to 102,936 and 154,651.50

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Solution

The third proportional to 102,936 and 154,651.50 is: 232,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936 : 154,651.50 = 154,651.50 : x
  2. Step 2: Convert to fraction form
    102,936/154,651.50 = 154,651.50/x
  3. Step 3: Cross multiply
    102,936x = 154,651.50 × 154,651.50
  4. Step 4: Simplify right side
    102,936x = 23,917,086,452.25
  5. Step 5: Solve for x
    x = 23,917,086,452.25/102,936
  6. Step 6: Final answer
    x = 232,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.