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Finding the Third Proportional to 42,668 and 93,628

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Solution

The third proportional to 42,668 and 93,628 is: 205,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,668 : 93,628 = 93,628 : x
  2. Step 2: Convert to fraction form
    42,668/93,628 = 93,628/x
  3. Step 3: Cross multiply
    42,668x = 93,628 × 93,628
  4. Step 4: Simplify right side
    42,668x = 8,766,202,384
  5. Step 5: Solve for x
    x = 8,766,202,384/42,668
  6. Step 6: Final answer
    x = 205,451.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.