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Finding the Third Proportional to 15,397 and 23,205

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Solution

The third proportional to 15,397 and 23,205 is: 34,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397 : 23,205 = 23,205 : x
  2. Step 2: Convert to fraction form
    15,397/23,205 = 23,205/x
  3. Step 3: Cross multiply
    15,397x = 23,205 × 23,205
  4. Step 4: Simplify right side
    15,397x = 538,472,025
  5. Step 5: Solve for x
    x = 538,472,025/15,397
  6. Step 6: Final answer
    x = 34,972.53

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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.