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Finding the Third Proportional to 15,858 and 22,307

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Solution

The third proportional to 15,858 and 22,307 is: 31,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 22,307 = 22,307 : x
  2. Step 2: Convert to fraction form
    15,858/22,307 = 22,307/x
  3. Step 3: Cross multiply
    15,858x = 22,307 × 22,307
  4. Step 4: Simplify right side
    15,858x = 497,602,249
  5. Step 5: Solve for x
    x = 497,602,249/15,858
  6. Step 6: Final answer
    x = 31,378.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.