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Finding the Third Proportional to 42,288 and 91,072

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Solution

The third proportional to 42,288 and 91,072 is: 196,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288 : 91,072 = 91,072 : x
  2. Step 2: Convert to fraction form
    42,288/91,072 = 91,072/x
  3. Step 3: Cross multiply
    42,288x = 91,072 × 91,072
  4. Step 4: Simplify right side
    42,288x = 8,294,109,184
  5. Step 5: Solve for x
    x = 8,294,109,184/42,288
  6. Step 6: Final answer
    x = 196,133.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.