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Finding the Third Proportional to 29,649 and 64,770

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Solution

The third proportional to 29,649 and 64,770 is: 141,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649 : 64,770 = 64,770 : x
  2. Step 2: Convert to fraction form
    29,649/64,770 = 64,770/x
  3. Step 3: Cross multiply
    29,649x = 64,770 × 64,770
  4. Step 4: Simplify right side
    29,649x = 4,195,152,900
  5. Step 5: Solve for x
    x = 4,195,152,900/29,649
  6. Step 6: Final answer
    x = 141,493.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.