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Finding the Third Proportional to 4,221.07 and 7,839.70

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Solution

The third proportional to 4,221.07 and 7,839.70 is: 14,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.07 : 7,839.70 = 7,839.70 : x
  2. Step 2: Convert to fraction form
    4,221.07/7,839.70 = 7,839.70/x
  3. Step 3: Cross multiply
    4,221.07x = 7,839.70 × 7,839.70
  4. Step 4: Simplify right side
    4,221.07x = 61,460,945.09
  5. Step 5: Solve for x
    x = 61,460,945.09/4,221.07
  6. Step 6: Final answer
    x = 14,560.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.