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Finding the Third Proportional to 21,187 and 45,859

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Solution

The third proportional to 21,187 and 45,859 is: 99,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187 : 45,859 = 45,859 : x
  2. Step 2: Convert to fraction form
    21,187/45,859 = 45,859/x
  3. Step 3: Cross multiply
    21,187x = 45,859 × 45,859
  4. Step 4: Simplify right side
    21,187x = 2,103,047,881
  5. Step 5: Solve for x
    x = 2,103,047,881/21,187
  6. Step 6: Final answer
    x = 99,261.24

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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.