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Finding the Third Proportional to 42,381 and 51,858

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Solution

The third proportional to 42,381 and 51,858 is: 63,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381 : 51,858 = 51,858 : x
  2. Step 2: Convert to fraction form
    42,381/51,858 = 51,858/x
  3. Step 3: Cross multiply
    42,381x = 51,858 × 51,858
  4. Step 4: Simplify right side
    42,381x = 2,689,252,164
  5. Step 5: Solve for x
    x = 2,689,252,164/42,381
  6. Step 6: Final answer
    x = 63,454.19

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.