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Finding the Third Proportional to 21,899 and 47,434

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Solution

The third proportional to 21,899 and 47,434 is: 102,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899 : 47,434 = 47,434 : x
  2. Step 2: Convert to fraction form
    21,899/47,434 = 47,434/x
  3. Step 3: Cross multiply
    21,899x = 47,434 × 47,434
  4. Step 4: Simplify right side
    21,899x = 2,249,984,356
  5. Step 5: Solve for x
    x = 2,249,984,356/21,899
  6. Step 6: Final answer
    x = 102,743.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.