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Finding the Third Proportional to 63,380 and 139,153

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Solution

The third proportional to 63,380 and 139,153 is: 305,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 139,153 = 139,153 : x
  2. Step 2: Convert to fraction form
    63,380/139,153 = 139,153/x
  3. Step 3: Cross multiply
    63,380x = 139,153 × 139,153
  4. Step 4: Simplify right side
    63,380x = 19,363,557,409
  5. Step 5: Solve for x
    x = 19,363,557,409/63,380
  6. Step 6: Final answer
    x = 305,515.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.