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Finding the Third Proportional to 79,812 and 170,640

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Solution

The third proportional to 79,812 and 170,640 is: 364,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,812 : 170,640 = 170,640 : x
  2. Step 2: Convert to fraction form
    79,812/170,640 = 170,640/x
  3. Step 3: Cross multiply
    79,812x = 170,640 × 170,640
  4. Step 4: Simplify right side
    79,812x = 29,118,009,600
  5. Step 5: Solve for x
    x = 29,118,009,600/79,812
  6. Step 6: Final answer
    x = 364,832.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.