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Finding the Third Proportional to 139,918 and 299,781

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Solution

The third proportional to 139,918 and 299,781 is: 642,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,918 : 299,781 = 299,781 : x
  2. Step 2: Convert to fraction form
    139,918/299,781 = 299,781/x
  3. Step 3: Cross multiply
    139,918x = 299,781 × 299,781
  4. Step 4: Simplify right side
    139,918x = 89,868,647,961
  5. Step 5: Solve for x
    x = 89,868,647,961/139,918
  6. Step 6: Final answer
    x = 642,295.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.