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Finding the Third Proportional to 61,938 and 139,923

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Solution

The third proportional to 61,938 and 139,923 is: 316,097.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 139,923 = 139,923 : x
  2. Step 2: Convert to fraction form
    61,938/139,923 = 139,923/x
  3. Step 3: Cross multiply
    61,938x = 139,923 × 139,923
  4. Step 4: Simplify right side
    61,938x = 19,578,445,929
  5. Step 5: Solve for x
    x = 19,578,445,929/61,938
  6. Step 6: Final answer
    x = 316,097.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.