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Finding the Third Proportional to 64,420 and 100,188

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Solution

The third proportional to 64,420 and 100,188 is: 155,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,420 : 100,188 = 100,188 : x
  2. Step 2: Convert to fraction form
    64,420/100,188 = 100,188/x
  3. Step 3: Cross multiply
    64,420x = 100,188 × 100,188
  4. Step 4: Simplify right side
    64,420x = 10,037,635,344
  5. Step 5: Solve for x
    x = 10,037,635,344/64,420
  6. Step 6: Final answer
    x = 155,815.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.