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Finding the Third Proportional to 79,142 and 170,768

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Solution

The third proportional to 79,142 and 170,768 is: 368,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,142 : 170,768 = 170,768 : x
  2. Step 2: Convert to fraction form
    79,142/170,768 = 170,768/x
  3. Step 3: Cross multiply
    79,142x = 170,768 × 170,768
  4. Step 4: Simplify right side
    79,142x = 29,161,709,824
  5. Step 5: Solve for x
    x = 29,161,709,824/79,142
  6. Step 6: Final answer
    x = 368,473.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.