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Finding the Third Proportional to 63,800 and 139,080

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Solution

The third proportional to 63,800 and 139,080 is: 303,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,800 : 139,080 = 139,080 : x
  2. Step 2: Convert to fraction form
    63,800/139,080 = 139,080/x
  3. Step 3: Cross multiply
    63,800x = 139,080 × 139,080
  4. Step 4: Simplify right side
    63,800x = 19,343,246,400
  5. Step 5: Solve for x
    x = 19,343,246,400/63,800
  6. Step 6: Final answer
    x = 303,185.68

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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.