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Finding the Third Proportional to 21,216 and 45,923

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Solution

The third proportional to 21,216 and 45,923 is: 99,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216 : 45,923 = 45,923 : x
  2. Step 2: Convert to fraction form
    21,216/45,923 = 45,923/x
  3. Step 3: Cross multiply
    21,216x = 45,923 × 45,923
  4. Step 4: Simplify right side
    21,216x = 2,108,921,929
  5. Step 5: Solve for x
    x = 2,108,921,929/21,216
  6. Step 6: Final answer
    x = 99,402.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.