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Finding the Third Proportional to 53,751 and 82,480.50

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Solution

The third proportional to 53,751 and 82,480.50 is: 126,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751 : 82,480.50 = 82,480.50 : x
  2. Step 2: Convert to fraction form
    53,751/82,480.50 = 82,480.50/x
  3. Step 3: Cross multiply
    53,751x = 82,480.50 × 82,480.50
  4. Step 4: Simplify right side
    53,751x = 6,803,032,880.25
  5. Step 5: Solve for x
    x = 6,803,032,880.25/53,751
  6. Step 6: Final answer
    x = 126,565.70

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Why These Related Problems?

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