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Finding the Third Proportional to 63,787 and 139,229

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Solution

The third proportional to 63,787 and 139,229 is: 303,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,787 : 139,229 = 139,229 : x
  2. Step 2: Convert to fraction form
    63,787/139,229 = 139,229/x
  3. Step 3: Cross multiply
    63,787x = 139,229 × 139,229
  4. Step 4: Simplify right side
    63,787x = 19,384,714,441
  5. Step 5: Solve for x
    x = 19,384,714,441/63,787
  6. Step 6: Final answer
    x = 303,897.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.