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Finding the Third Proportional to 35,775 and 70,649

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Solution

The third proportional to 35,775 and 70,649 is: 139,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775 : 70,649 = 70,649 : x
  2. Step 2: Convert to fraction form
    35,775/70,649 = 70,649/x
  3. Step 3: Cross multiply
    35,775x = 70,649 × 70,649
  4. Step 4: Simplify right side
    35,775x = 4,991,281,201
  5. Step 5: Solve for x
    x = 4,991,281,201/35,775
  6. Step 6: Final answer
    x = 139,518.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.