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Finding the Third Proportional to 15,709.78 and 21,975.19

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Solution

The third proportional to 15,709.78 and 21,975.19 is: 30,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.78 : 21,975.19 = 21,975.19 : x
  2. Step 2: Convert to fraction form
    15,709.78/21,975.19 = 21,975.19/x
  3. Step 3: Cross multiply
    15,709.78x = 21,975.19 × 21,975.19
  4. Step 4: Simplify right side
    15,709.78x = 482,908,865.66
  5. Step 5: Solve for x
    x = 482,908,865.66/15,709.78
  6. Step 6: Final answer
    x = 30,739.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.