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Finding the Third Proportional to 59,081 and 90,811

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Solution

The third proportional to 59,081 and 90,811 is: 139,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,081 : 90,811 = 90,811 : x
  2. Step 2: Convert to fraction form
    59,081/90,811 = 90,811/x
  3. Step 3: Cross multiply
    59,081x = 90,811 × 90,811
  4. Step 4: Simplify right side
    59,081x = 8,246,637,721
  5. Step 5: Solve for x
    x = 8,246,637,721/59,081
  6. Step 6: Final answer
    x = 139,581.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.