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Finding the Third Proportional to 63,774 and 139,031

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Solution

The third proportional to 63,774 and 139,031 is: 303,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,774 : 139,031 = 139,031 : x
  2. Step 2: Convert to fraction form
    63,774/139,031 = 139,031/x
  3. Step 3: Cross multiply
    63,774x = 139,031 × 139,031
  4. Step 4: Simplify right side
    63,774x = 19,329,618,961
  5. Step 5: Solve for x
    x = 19,329,618,961/63,774
  6. Step 6: Final answer
    x = 303,095.60

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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.