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Finding the Third Proportional to 77,718 and 160,419

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Solution

The third proportional to 77,718 and 160,419 is: 331,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718 : 160,419 = 160,419 : x
  2. Step 2: Convert to fraction form
    77,718/160,419 = 160,419/x
  3. Step 3: Cross multiply
    77,718x = 160,419 × 160,419
  4. Step 4: Simplify right side
    77,718x = 25,734,255,561
  5. Step 5: Solve for x
    x = 25,734,255,561/77,718
  6. Step 6: Final answer
    x = 331,123.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.