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Finding the Third Proportional to 100,928 and 144,831

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Solution

The third proportional to 100,928 and 144,831 is: 207,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,928 : 144,831 = 144,831 : x
  2. Step 2: Convert to fraction form
    100,928/144,831 = 144,831/x
  3. Step 3: Cross multiply
    100,928x = 144,831 × 144,831
  4. Step 4: Simplify right side
    100,928x = 20,976,018,561
  5. Step 5: Solve for x
    x = 20,976,018,561/100,928
  6. Step 6: Final answer
    x = 207,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.