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Finding the Third Proportional to 14,910 and 20,535

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Solution

The third proportional to 14,910 and 20,535 is: 28,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,910 : 20,535 = 20,535 : x
  2. Step 2: Convert to fraction form
    14,910/20,535 = 20,535/x
  3. Step 3: Cross multiply
    14,910x = 20,535 × 20,535
  4. Step 4: Simplify right side
    14,910x = 421,686,225
  5. Step 5: Solve for x
    x = 421,686,225/14,910
  6. Step 6: Final answer
    x = 28,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.