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Finding the Third Proportional to 63,440 and 138,180

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Solution

The third proportional to 63,440 and 138,180 is: 300,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,440 : 138,180 = 138,180 : x
  2. Step 2: Convert to fraction form
    63,440/138,180 = 138,180/x
  3. Step 3: Cross multiply
    63,440x = 138,180 × 138,180
  4. Step 4: Simplify right side
    63,440x = 19,093,712,400
  5. Step 5: Solve for x
    x = 19,093,712,400/63,440
  6. Step 6: Final answer
    x = 300,972.77

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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.