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Finding the Third Proportional to 42,940 and 93,236

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Solution

The third proportional to 42,940 and 93,236 is: 202,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,940 : 93,236 = 93,236 : x
  2. Step 2: Convert to fraction form
    42,940/93,236 = 93,236/x
  3. Step 3: Cross multiply
    42,940x = 93,236 × 93,236
  4. Step 4: Simplify right side
    42,940x = 8,692,951,696
  5. Step 5: Solve for x
    x = 8,692,951,696/42,940
  6. Step 6: Final answer
    x = 202,444.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.