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Finding the Third Proportional to 42,767 and 93,796

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Solution

The third proportional to 42,767 and 93,796 is: 205,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,767 : 93,796 = 93,796 : x
  2. Step 2: Convert to fraction form
    42,767/93,796 = 93,796/x
  3. Step 3: Cross multiply
    42,767x = 93,796 × 93,796
  4. Step 4: Simplify right side
    42,767x = 8,797,689,616
  5. Step 5: Solve for x
    x = 8,797,689,616/42,767
  6. Step 6: Final answer
    x = 205,712.11

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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.