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Finding the Third Proportional to 21,320 and 47,294

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Solution

The third proportional to 21,320 and 47,294 is: 104,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320 : 47,294 = 47,294 : x
  2. Step 2: Convert to fraction form
    21,320/47,294 = 47,294/x
  3. Step 3: Cross multiply
    21,320x = 47,294 × 47,294
  4. Step 4: Simplify right side
    21,320x = 2,236,722,436
  5. Step 5: Solve for x
    x = 2,236,722,436/21,320
  6. Step 6: Final answer
    x = 104,911.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.