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Finding the Third Proportional to 20,235 and 30,625.50

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Solution

The third proportional to 20,235 and 30,625.50 is: 46,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235 : 30,625.50 = 30,625.50 : x
  2. Step 2: Convert to fraction form
    20,235/30,625.50 = 30,625.50/x
  3. Step 3: Cross multiply
    20,235x = 30,625.50 × 30,625.50
  4. Step 4: Simplify right side
    20,235x = 937,921,250.25
  5. Step 5: Solve for x
    x = 937,921,250.25/20,235
  6. Step 6: Final answer
    x = 46,351.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.