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Finding the Third Proportional to 15,781 and 26,300

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Solution

The third proportional to 15,781 and 26,300 is: 43,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781 : 26,300 = 26,300 : x
  2. Step 2: Convert to fraction form
    15,781/26,300 = 26,300/x
  3. Step 3: Cross multiply
    15,781x = 26,300 × 26,300
  4. Step 4: Simplify right side
    15,781x = 691,690,000
  5. Step 5: Solve for x
    x = 691,690,000/15,781
  6. Step 6: Final answer
    x = 43,830.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.