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Finding the Third Proportional to 55,845 and 87,413

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Solution

The third proportional to 55,845 and 87,413 is: 136,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,845 : 87,413 = 87,413 : x
  2. Step 2: Convert to fraction form
    55,845/87,413 = 87,413/x
  3. Step 3: Cross multiply
    55,845x = 87,413 × 87,413
  4. Step 4: Simplify right side
    55,845x = 7,641,032,569
  5. Step 5: Solve for x
    x = 7,641,032,569/55,845
  6. Step 6: Final answer
    x = 136,825.72

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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.