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Finding the Third Proportional to 21,127 and 45,903

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Solution

The third proportional to 21,127 and 45,903 is: 99,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127 : 45,903 = 45,903 : x
  2. Step 2: Convert to fraction form
    21,127/45,903 = 45,903/x
  3. Step 3: Cross multiply
    21,127x = 45,903 × 45,903
  4. Step 4: Simplify right side
    21,127x = 2,107,085,409
  5. Step 5: Solve for x
    x = 2,107,085,409/21,127
  6. Step 6: Final answer
    x = 99,734.25

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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.