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Finding the Third Proportional to 77,946 and 171,780

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Solution

The third proportional to 77,946 and 171,780 is: 378,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 171,780 = 171,780 : x
  2. Step 2: Convert to fraction form
    77,946/171,780 = 171,780/x
  3. Step 3: Cross multiply
    77,946x = 171,780 × 171,780
  4. Step 4: Simplify right side
    77,946x = 29,508,368,400
  5. Step 5: Solve for x
    x = 29,508,368,400/77,946
  6. Step 6: Final answer
    x = 378,574.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.