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Finding the Third Proportional to 79,746 and 171,780

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Solution

The third proportional to 79,746 and 171,780 is: 370,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,746 : 171,780 = 171,780 : x
  2. Step 2: Convert to fraction form
    79,746/171,780 = 171,780/x
  3. Step 3: Cross multiply
    79,746x = 171,780 × 171,780
  4. Step 4: Simplify right side
    79,746x = 29,508,368,400
  5. Step 5: Solve for x
    x = 29,508,368,400/79,746
  6. Step 6: Final answer
    x = 370,029.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.