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Finding the Third Proportional to 56,789 and 79,422

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Solution

The third proportional to 56,789 and 79,422 is: 111,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,789 : 79,422 = 79,422 : x
  2. Step 2: Convert to fraction form
    56,789/79,422 = 79,422/x
  3. Step 3: Cross multiply
    56,789x = 79,422 × 79,422
  4. Step 4: Simplify right side
    56,789x = 6,307,854,084
  5. Step 5: Solve for x
    x = 6,307,854,084/56,789
  6. Step 6: Final answer
    x = 111,075.28

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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.