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Finding the Third Proportional to 17,570 and 26,431

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Solution

The third proportional to 17,570 and 26,431 is: 39,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570 : 26,431 = 26,431 : x
  2. Step 2: Convert to fraction form
    17,570/26,431 = 26,431/x
  3. Step 3: Cross multiply
    17,570x = 26,431 × 26,431
  4. Step 4: Simplify right side
    17,570x = 698,597,761
  5. Step 5: Solve for x
    x = 698,597,761/17,570
  6. Step 6: Final answer
    x = 39,760.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.