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Finding the Third Proportional to 42,282.50 and 92,935

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Solution

The third proportional to 42,282.50 and 92,935 is: 204,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,282.50 : 92,935 = 92,935 : x
  2. Step 2: Convert to fraction form
    42,282.50/92,935 = 92,935/x
  3. Step 3: Cross multiply
    42,282.50x = 92,935 × 92,935
  4. Step 4: Simplify right side
    42,282.50x = 8,636,914,225
  5. Step 5: Solve for x
    x = 8,636,914,225/42,282.50
  6. Step 6: Final answer
    x = 204,266.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.