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Finding the Third Proportional to 21,069 and 45,459

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Solution

The third proportional to 21,069 and 45,459 is: 98,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069 : 45,459 = 45,459 : x
  2. Step 2: Convert to fraction form
    21,069/45,459 = 45,459/x
  3. Step 3: Cross multiply
    21,069x = 45,459 × 45,459
  4. Step 4: Simplify right side
    21,069x = 2,066,520,681
  5. Step 5: Solve for x
    x = 2,066,520,681/21,069
  6. Step 6: Final answer
    x = 98,083.47

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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.