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Finding the Third Proportional to 34,048 and 56,269.50

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Solution

The third proportional to 34,048 and 56,269.50 is: 92,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048 : 56,269.50 = 56,269.50 : x
  2. Step 2: Convert to fraction form
    34,048/56,269.50 = 56,269.50/x
  3. Step 3: Cross multiply
    34,048x = 56,269.50 × 56,269.50
  4. Step 4: Simplify right side
    34,048x = 3,166,256,630.25
  5. Step 5: Solve for x
    x = 3,166,256,630.25/34,048
  6. Step 6: Final answer
    x = 92,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.