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Finding the Third Proportional to 21,163 and 45,511

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Solution

The third proportional to 21,163 and 45,511 is: 97,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163 : 45,511 = 45,511 : x
  2. Step 2: Convert to fraction form
    21,163/45,511 = 45,511/x
  3. Step 3: Cross multiply
    21,163x = 45,511 × 45,511
  4. Step 4: Simplify right side
    21,163x = 2,071,251,121
  5. Step 5: Solve for x
    x = 2,071,251,121/21,163
  6. Step 6: Final answer
    x = 97,871.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.