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Finding the Third Proportional to 33,610 and 51,590

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Solution

The third proportional to 33,610 and 51,590 is: 79,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,610 : 51,590 = 51,590 : x
  2. Step 2: Convert to fraction form
    33,610/51,590 = 51,590/x
  3. Step 3: Cross multiply
    33,610x = 51,590 × 51,590
  4. Step 4: Simplify right side
    33,610x = 2,661,528,100
  5. Step 5: Solve for x
    x = 2,661,528,100/33,610
  6. Step 6: Final answer
    x = 79,188.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.