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Finding the Third Proportional to 56,412 and 78,941

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Solution

The third proportional to 56,412 and 78,941 is: 110,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412 : 78,941 = 78,941 : x
  2. Step 2: Convert to fraction form
    56,412/78,941 = 78,941/x
  3. Step 3: Cross multiply
    56,412x = 78,941 × 78,941
  4. Step 4: Simplify right side
    56,412x = 6,231,681,481
  5. Step 5: Solve for x
    x = 6,231,681,481/56,412
  6. Step 6: Final answer
    x = 110,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.