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Finding the Third Proportional to 15,781 and 23,786

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Solution

The third proportional to 15,781 and 23,786 is: 35,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781 : 23,786 = 23,786 : x
  2. Step 2: Convert to fraction form
    15,781/23,786 = 23,786/x
  3. Step 3: Cross multiply
    15,781x = 23,786 × 23,786
  4. Step 4: Simplify right side
    15,781x = 565,773,796
  5. Step 5: Solve for x
    x = 565,773,796/15,781
  6. Step 6: Final answer
    x = 35,851.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.