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Finding the Third Proportional to 79,018 and 121,902

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Solution

The third proportional to 79,018 and 121,902 is: 188,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,018 : 121,902 = 121,902 : x
  2. Step 2: Convert to fraction form
    79,018/121,902 = 121,902/x
  3. Step 3: Cross multiply
    79,018x = 121,902 × 121,902
  4. Step 4: Simplify right side
    79,018x = 14,860,097,604
  5. Step 5: Solve for x
    x = 14,860,097,604/79,018
  6. Step 6: Final answer
    x = 188,059.65

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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.