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Finding the Third Proportional to 35,530 and 77,749

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Solution

The third proportional to 35,530 and 77,749 is: 170,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530 : 77,749 = 77,749 : x
  2. Step 2: Convert to fraction form
    35,530/77,749 = 77,749/x
  3. Step 3: Cross multiply
    35,530x = 77,749 × 77,749
  4. Step 4: Simplify right side
    35,530x = 6,044,907,001
  5. Step 5: Solve for x
    x = 6,044,907,001/35,530
  6. Step 6: Final answer
    x = 170,135.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.