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Finding the Third Proportional to 44,978 and 93,603

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Solution

The third proportional to 44,978 and 93,603 is: 194,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,978 : 93,603 = 93,603 : x
  2. Step 2: Convert to fraction form
    44,978/93,603 = 93,603/x
  3. Step 3: Cross multiply
    44,978x = 93,603 × 93,603
  4. Step 4: Simplify right side
    44,978x = 8,761,521,609
  5. Step 5: Solve for x
    x = 8,761,521,609/44,978
  6. Step 6: Final answer
    x = 194,795.71

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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.