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Finding the Third Proportional to 89,081 and 130,705

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Solution

The third proportional to 89,081 and 130,705 is: 191,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,081 : 130,705 = 130,705 : x
  2. Step 2: Convert to fraction form
    89,081/130,705 = 130,705/x
  3. Step 3: Cross multiply
    89,081x = 130,705 × 130,705
  4. Step 4: Simplify right side
    89,081x = 17,083,797,025
  5. Step 5: Solve for x
    x = 17,083,797,025/89,081
  6. Step 6: Final answer
    x = 191,778.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.