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Finding the Third Proportional to 63,788 and 139,234

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Solution

The third proportional to 63,788 and 139,234 is: 303,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,788 : 139,234 = 139,234 : x
  2. Step 2: Convert to fraction form
    63,788/139,234 = 139,234/x
  3. Step 3: Cross multiply
    63,788x = 139,234 × 139,234
  4. Step 4: Simplify right side
    63,788x = 19,386,106,756
  5. Step 5: Solve for x
    x = 19,386,106,756/63,788
  6. Step 6: Final answer
    x = 303,914.64

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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.