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Finding the Third Proportional to 56,833 and 87,381

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Solution

The third proportional to 56,833 and 87,381 is: 134,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,833 : 87,381 = 87,381 : x
  2. Step 2: Convert to fraction form
    56,833/87,381 = 87,381/x
  3. Step 3: Cross multiply
    56,833x = 87,381 × 87,381
  4. Step 4: Simplify right side
    56,833x = 7,635,439,161
  5. Step 5: Solve for x
    x = 7,635,439,161/56,833
  6. Step 6: Final answer
    x = 134,348.69

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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.