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Finding the Third Proportional to 79,282 and 122,786

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Solution

The third proportional to 79,282 and 122,786 is: 190,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,282 : 122,786 = 122,786 : x
  2. Step 2: Convert to fraction form
    79,282/122,786 = 122,786/x
  3. Step 3: Cross multiply
    79,282x = 122,786 × 122,786
  4. Step 4: Simplify right side
    79,282x = 15,076,401,796
  5. Step 5: Solve for x
    x = 15,076,401,796/79,282
  6. Step 6: Final answer
    x = 190,161.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.