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Finding the Third Proportional to 23,720.25 and 51,336.50

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Solution

The third proportional to 23,720.25 and 51,336.50 is: 111,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.25 : 51,336.50 = 51,336.50 : x
  2. Step 2: Convert to fraction form
    23,720.25/51,336.50 = 51,336.50/x
  3. Step 3: Cross multiply
    23,720.25x = 51,336.50 × 51,336.50
  4. Step 4: Simplify right side
    23,720.25x = 2,635,436,232.25
  5. Step 5: Solve for x
    x = 2,635,436,232.25/23,720.25
  6. Step 6: Final answer
    x = 111,104.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.