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Finding the Third Proportional to 29,810 and 62,052

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Solution

The third proportional to 29,810 and 62,052 is: 129,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810 : 62,052 = 62,052 : x
  2. Step 2: Convert to fraction form
    29,810/62,052 = 62,052/x
  3. Step 3: Cross multiply
    29,810x = 62,052 × 62,052
  4. Step 4: Simplify right side
    29,810x = 3,850,450,704
  5. Step 5: Solve for x
    x = 3,850,450,704/29,810
  6. Step 6: Final answer
    x = 129,166.41

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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.