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Finding the Third Proportional to 42,021 and 91,048

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Solution

The third proportional to 42,021 and 91,048 is: 197,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,021 : 91,048 = 91,048 : x
  2. Step 2: Convert to fraction form
    42,021/91,048 = 91,048/x
  3. Step 3: Cross multiply
    42,021x = 91,048 × 91,048
  4. Step 4: Simplify right side
    42,021x = 8,289,738,304
  5. Step 5: Solve for x
    x = 8,289,738,304/42,021
  6. Step 6: Final answer
    x = 197,276.08

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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.