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Finding the Third Proportional to 10,069 and 21,437

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Solution

The third proportional to 10,069 and 21,437 is: 45,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 21,437 = 21,437 : x
  2. Step 2: Convert to fraction form
    10,069/21,437 = 21,437/x
  3. Step 3: Cross multiply
    10,069x = 21,437 × 21,437
  4. Step 4: Simplify right side
    10,069x = 459,544,969
  5. Step 5: Solve for x
    x = 459,544,969/10,069
  6. Step 6: Final answer
    x = 45,639.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.