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Finding the Third Proportional to 63,658 and 138,980

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Solution

The third proportional to 63,658 and 138,980 is: 303,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,658 : 138,980 = 138,980 : x
  2. Step 2: Convert to fraction form
    63,658/138,980 = 138,980/x
  3. Step 3: Cross multiply
    63,658x = 138,980 × 138,980
  4. Step 4: Simplify right side
    63,658x = 19,315,440,400
  5. Step 5: Solve for x
    x = 19,315,440,400/63,658
  6. Step 6: Final answer
    x = 303,425.18

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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.