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Finding the Third Proportional to 15,711.47 and 21,977.16

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Solution

The third proportional to 15,711.47 and 21,977.16 is: 30,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.47 : 21,977.16 = 21,977.16 : x
  2. Step 2: Convert to fraction form
    15,711.47/21,977.16 = 21,977.16/x
  3. Step 3: Cross multiply
    15,711.47x = 21,977.16 × 21,977.16
  4. Step 4: Simplify right side
    15,711.47x = 482,995,396.84
  5. Step 5: Solve for x
    x = 482,995,396.84/15,711.47
  6. Step 6: Final answer
    x = 30,741.58

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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.