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Finding the Third Proportional to 68,039 and 145,919

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Solution

The third proportional to 68,039 and 145,919 is: 312,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,039 : 145,919 = 145,919 : x
  2. Step 2: Convert to fraction form
    68,039/145,919 = 145,919/x
  3. Step 3: Cross multiply
    68,039x = 145,919 × 145,919
  4. Step 4: Simplify right side
    68,039x = 21,292,354,561
  5. Step 5: Solve for x
    x = 21,292,354,561/68,039
  6. Step 6: Final answer
    x = 312,943.38

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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.