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Finding the Third Proportional to 30,415.50 and 39,021.75

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Solution

The third proportional to 30,415.50 and 39,021.75 is: 50,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.50 : 39,021.75 = 39,021.75 : x
  2. Step 2: Convert to fraction form
    30,415.50/39,021.75 = 39,021.75/x
  3. Step 3: Cross multiply
    30,415.50x = 39,021.75 × 39,021.75
  4. Step 4: Simplify right side
    30,415.50x = 1,522,696,973.06
  5. Step 5: Solve for x
    x = 1,522,696,973.06/30,415.50
  6. Step 6: Final answer
    x = 50,063.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.