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Finding the Third Proportional to 92,010.38 and 197,321.63

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Solution

The third proportional to 92,010.38 and 197,321.63 is: 423,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,010.38 : 197,321.63 = 197,321.63 : x
  2. Step 2: Convert to fraction form
    92,010.38/197,321.63 = 197,321.63/x
  3. Step 3: Cross multiply
    92,010.38x = 197,321.63 × 197,321.63
  4. Step 4: Simplify right side
    92,010.38x = 38,935,823,692.64
  5. Step 5: Solve for x
    x = 38,935,823,692.64/92,010.38
  6. Step 6: Final answer
    x = 423,167.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.