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Finding the Third Proportional to 75,198 and 105,128

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Solution

The third proportional to 75,198 and 105,128 is: 146,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198 : 105,128 = 105,128 : x
  2. Step 2: Convert to fraction form
    75,198/105,128 = 105,128/x
  3. Step 3: Cross multiply
    75,198x = 105,128 × 105,128
  4. Step 4: Simplify right side
    75,198x = 11,051,896,384
  5. Step 5: Solve for x
    x = 11,051,896,384/75,198
  6. Step 6: Final answer
    x = 146,970.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.