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Finding the Third Proportional to 64,910 and 100,395

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Solution

The third proportional to 64,910 and 100,395 is: 155,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,910 : 100,395 = 100,395 : x
  2. Step 2: Convert to fraction form
    64,910/100,395 = 100,395/x
  3. Step 3: Cross multiply
    64,910x = 100,395 × 100,395
  4. Step 4: Simplify right side
    64,910x = 10,079,156,025
  5. Step 5: Solve for x
    x = 10,079,156,025/64,910
  6. Step 6: Final answer
    x = 155,278.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.