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Finding the Third Proportional to 15,964 and 21,670

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Solution

The third proportional to 15,964 and 21,670 is: 29,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 21,670 = 21,670 : x
  2. Step 2: Convert to fraction form
    15,964/21,670 = 21,670/x
  3. Step 3: Cross multiply
    15,964x = 21,670 × 21,670
  4. Step 4: Simplify right side
    15,964x = 469,588,900
  5. Step 5: Solve for x
    x = 469,588,900/15,964
  6. Step 6: Final answer
    x = 29,415.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.