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Finding the Third Proportional to 19,910 and 30,489

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Solution

The third proportional to 19,910 and 30,489 is: 46,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,910 : 30,489 = 30,489 : x
  2. Step 2: Convert to fraction form
    19,910/30,489 = 30,489/x
  3. Step 3: Cross multiply
    19,910x = 30,489 × 30,489
  4. Step 4: Simplify right side
    19,910x = 929,579,121
  5. Step 5: Solve for x
    x = 929,579,121/19,910
  6. Step 6: Final answer
    x = 46,689.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.