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Finding the Third Proportional to 77,126 and 160,408

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Solution

The third proportional to 77,126 and 160,408 is: 333,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,126 : 160,408 = 160,408 : x
  2. Step 2: Convert to fraction form
    77,126/160,408 = 160,408/x
  3. Step 3: Cross multiply
    77,126x = 160,408 × 160,408
  4. Step 4: Simplify right side
    77,126x = 25,730,726,464
  5. Step 5: Solve for x
    x = 25,730,726,464/77,126
  6. Step 6: Final answer
    x = 333,619.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.