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Finding the Third Proportional to 81,010 and 109,056

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Solution

The third proportional to 81,010 and 109,056 is: 146,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,010 : 109,056 = 109,056 : x
  2. Step 2: Convert to fraction form
    81,010/109,056 = 109,056/x
  3. Step 3: Cross multiply
    81,010x = 109,056 × 109,056
  4. Step 4: Simplify right side
    81,010x = 11,893,211,136
  5. Step 5: Solve for x
    x = 11,893,211,136/81,010
  6. Step 6: Final answer
    x = 146,811.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.