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Finding the Third Proportional to 20,999.25 and 25,312.50

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Solution

The third proportional to 20,999.25 and 25,312.50 is: 30,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.25 : 25,312.50 = 25,312.50 : x
  2. Step 2: Convert to fraction form
    20,999.25/25,312.50 = 25,312.50/x
  3. Step 3: Cross multiply
    20,999.25x = 25,312.50 × 25,312.50
  4. Step 4: Simplify right side
    20,999.25x = 640,722,656.25
  5. Step 5: Solve for x
    x = 640,722,656.25/20,999.25
  6. Step 6: Final answer
    x = 30,511.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.