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Finding the Third Proportional to 42,800 and 103,109

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Solution

The third proportional to 42,800 and 103,109 is: 248,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 103,109 = 103,109 : x
  2. Step 2: Convert to fraction form
    42,800/103,109 = 103,109/x
  3. Step 3: Cross multiply
    42,800x = 103,109 × 103,109
  4. Step 4: Simplify right side
    42,800x = 10,631,465,881
  5. Step 5: Solve for x
    x = 10,631,465,881/42,800
  6. Step 6: Final answer
    x = 248,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.