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Finding the Third Proportional to 55,224 and 87,828

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Solution

The third proportional to 55,224 and 87,828 is: 139,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 87,828 = 87,828 : x
  2. Step 2: Convert to fraction form
    55,224/87,828 = 87,828/x
  3. Step 3: Cross multiply
    55,224x = 87,828 × 87,828
  4. Step 4: Simplify right side
    55,224x = 7,713,757,584
  5. Step 5: Solve for x
    x = 7,713,757,584/55,224
  6. Step 6: Final answer
    x = 139,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.