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Finding the Third Proportional to 100,148 and 140,864

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Solution

The third proportional to 100,148 and 140,864 is: 198,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,148 : 140,864 = 140,864 : x
  2. Step 2: Convert to fraction form
    100,148/140,864 = 140,864/x
  3. Step 3: Cross multiply
    100,148x = 140,864 × 140,864
  4. Step 4: Simplify right side
    100,148x = 19,842,666,496
  5. Step 5: Solve for x
    x = 19,842,666,496/100,148
  6. Step 6: Final answer
    x = 198,133.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.