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Finding the Third Proportional to 15,944 and 18,056

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Solution

The third proportional to 15,944 and 18,056 is: 20,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 18,056 = 18,056 : x
  2. Step 2: Convert to fraction form
    15,944/18,056 = 18,056/x
  3. Step 3: Cross multiply
    15,944x = 18,056 × 18,056
  4. Step 4: Simplify right side
    15,944x = 326,019,136
  5. Step 5: Solve for x
    x = 326,019,136/15,944
  6. Step 6: Final answer
    x = 20,447.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.