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Finding the Third Proportional to 82,056 and 133,986

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Solution

The third proportional to 82,056 and 133,986 is: 218,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,056 : 133,986 = 133,986 : x
  2. Step 2: Convert to fraction form
    82,056/133,986 = 133,986/x
  3. Step 3: Cross multiply
    82,056x = 133,986 × 133,986
  4. Step 4: Simplify right side
    82,056x = 17,952,248,196
  5. Step 5: Solve for x
    x = 17,952,248,196/82,056
  6. Step 6: Final answer
    x = 218,780.45

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.