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Finding the Third Proportional to 21,830 and 47,908

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Solution

The third proportional to 21,830 and 47,908 is: 105,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 47,908 = 47,908 : x
  2. Step 2: Convert to fraction form
    21,830/47,908 = 47,908/x
  3. Step 3: Cross multiply
    21,830x = 47,908 × 47,908
  4. Step 4: Simplify right side
    21,830x = 2,295,176,464
  5. Step 5: Solve for x
    x = 2,295,176,464/21,830
  6. Step 6: Final answer
    x = 105,138.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.