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Finding the Third Proportional to 30,705.75 and 39,497.63

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Solution

The third proportional to 30,705.75 and 39,497.63 is: 50,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.75 : 39,497.63 = 39,497.63 : x
  2. Step 2: Convert to fraction form
    30,705.75/39,497.63 = 39,497.63/x
  3. Step 3: Cross multiply
    30,705.75x = 39,497.63 × 39,497.63
  4. Step 4: Simplify right side
    30,705.75x = 1,560,062,380.64
  5. Step 5: Solve for x
    x = 1,560,062,380.64/30,705.75
  6. Step 6: Final answer
    x = 50,806.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.