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Finding the Third Proportional to 82,046.25 and 117,325.13

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Solution

The third proportional to 82,046.25 and 117,325.13 is: 167,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.25 : 117,325.13 = 117,325.13 : x
  2. Step 2: Convert to fraction form
    82,046.25/117,325.13 = 117,325.13/x
  3. Step 3: Cross multiply
    82,046.25x = 117,325.13 × 117,325.13
  4. Step 4: Simplify right side
    82,046.25x = 13,765,184,956.27
  5. Step 5: Solve for x
    x = 13,765,184,956.27/82,046.25
  6. Step 6: Final answer
    x = 167,773.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.