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Finding the Third Proportional to 100,936 and 144,840

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Solution

The third proportional to 100,936 and 144,840 is: 207,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,936 : 144,840 = 144,840 : x
  2. Step 2: Convert to fraction form
    100,936/144,840 = 144,840/x
  3. Step 3: Cross multiply
    100,936x = 144,840 × 144,840
  4. Step 4: Simplify right side
    100,936x = 20,978,625,600
  5. Step 5: Solve for x
    x = 20,978,625,600/100,936
  6. Step 6: Final answer
    x = 207,840.87

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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.