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Finding the Third Proportional to 51,642 and 79,420

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Solution

The third proportional to 51,642 and 79,420 is: 122,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642 : 79,420 = 79,420 : x
  2. Step 2: Convert to fraction form
    51,642/79,420 = 79,420/x
  3. Step 3: Cross multiply
    51,642x = 79,420 × 79,420
  4. Step 4: Simplify right side
    51,642x = 6,307,536,400
  5. Step 5: Solve for x
    x = 6,307,536,400/51,642
  6. Step 6: Final answer
    x = 122,139.66

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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.