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Finding the Third Proportional to 63,724 and 139,112

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Solution

The third proportional to 63,724 and 139,112 is: 303,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,724 : 139,112 = 139,112 : x
  2. Step 2: Convert to fraction form
    63,724/139,112 = 139,112/x
  3. Step 3: Cross multiply
    63,724x = 139,112 × 139,112
  4. Step 4: Simplify right side
    63,724x = 19,352,148,544
  5. Step 5: Solve for x
    x = 19,352,148,544/63,724
  6. Step 6: Final answer
    x = 303,686.97

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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.