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Finding the Third Proportional to 61,220 and 89,734

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Solution

The third proportional to 61,220 and 89,734 is: 131,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,220 : 89,734 = 89,734 : x
  2. Step 2: Convert to fraction form
    61,220/89,734 = 89,734/x
  3. Step 3: Cross multiply
    61,220x = 89,734 × 89,734
  4. Step 4: Simplify right side
    61,220x = 8,052,190,756
  5. Step 5: Solve for x
    x = 8,052,190,756/61,220
  6. Step 6: Final answer
    x = 131,528.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.