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Finding the Third Proportional to 37,738 and 77,905

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Solution

The third proportional to 37,738 and 77,905 is: 160,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738 : 77,905 = 77,905 : x
  2. Step 2: Convert to fraction form
    37,738/77,905 = 77,905/x
  3. Step 3: Cross multiply
    37,738x = 77,905 × 77,905
  4. Step 4: Simplify right side
    37,738x = 6,069,189,025
  5. Step 5: Solve for x
    x = 6,069,189,025/37,738
  6. Step 6: Final answer
    x = 160,824.34

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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.