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Finding the Third Proportional to 90,881 and 130,089

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Solution

The third proportional to 90,881 and 130,089 is: 186,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,881 : 130,089 = 130,089 : x
  2. Step 2: Convert to fraction form
    90,881/130,089 = 130,089/x
  3. Step 3: Cross multiply
    90,881x = 130,089 × 130,089
  4. Step 4: Simplify right side
    90,881x = 16,923,147,921
  5. Step 5: Solve for x
    x = 16,923,147,921/90,881
  6. Step 6: Final answer
    x = 186,212.17

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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.