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Finding the Third Proportional to 10,946 and 16,035

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Solution

The third proportional to 10,946 and 16,035 is: 23,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 16,035 = 16,035 : x
  2. Step 2: Convert to fraction form
    10,946/16,035 = 16,035/x
  3. Step 3: Cross multiply
    10,946x = 16,035 × 16,035
  4. Step 4: Simplify right side
    10,946x = 257,121,225
  5. Step 5: Solve for x
    x = 257,121,225/10,946
  6. Step 6: Final answer
    x = 23,489.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.