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Finding the Third Proportional to 56,838 and 89,163

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Solution

The third proportional to 56,838 and 89,163 is: 139,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838 : 89,163 = 89,163 : x
  2. Step 2: Convert to fraction form
    56,838/89,163 = 89,163/x
  3. Step 3: Cross multiply
    56,838x = 89,163 × 89,163
  4. Step 4: Simplify right side
    56,838x = 7,950,040,569
  5. Step 5: Solve for x
    x = 7,950,040,569/56,838
  6. Step 6: Final answer
    x = 139,871.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.