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Finding the Third Proportional to 15,964 and 18,172

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Solution

The third proportional to 15,964 and 18,172 is: 20,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 18,172 = 18,172 : x
  2. Step 2: Convert to fraction form
    15,964/18,172 = 18,172/x
  3. Step 3: Cross multiply
    15,964x = 18,172 × 18,172
  4. Step 4: Simplify right side
    15,964x = 330,221,584
  5. Step 5: Solve for x
    x = 330,221,584/15,964
  6. Step 6: Final answer
    x = 20,685.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.