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Finding the Third Proportional to 55,991 and 87,395

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Solution

The third proportional to 55,991 and 87,395 is: 136,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,991 : 87,395 = 87,395 : x
  2. Step 2: Convert to fraction form
    55,991/87,395 = 87,395/x
  3. Step 3: Cross multiply
    55,991x = 87,395 × 87,395
  4. Step 4: Simplify right side
    55,991x = 7,637,886,025
  5. Step 5: Solve for x
    x = 7,637,886,025/55,991
  6. Step 6: Final answer
    x = 136,412.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.