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Finding the Third Proportional to 42,815 and 68,187

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Solution

The third proportional to 42,815 and 68,187 is: 108,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,815 : 68,187 = 68,187 : x
  2. Step 2: Convert to fraction form
    42,815/68,187 = 68,187/x
  3. Step 3: Cross multiply
    42,815x = 68,187 × 68,187
  4. Step 4: Simplify right side
    42,815x = 4,649,466,969
  5. Step 5: Solve for x
    x = 4,649,466,969/42,815
  6. Step 6: Final answer
    x = 108,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.