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Finding the Third Proportional to 20,356 and 30,489

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Solution

The third proportional to 20,356 and 30,489 is: 45,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356 : 30,489 = 30,489 : x
  2. Step 2: Convert to fraction form
    20,356/30,489 = 30,489/x
  3. Step 3: Cross multiply
    20,356x = 30,489 × 30,489
  4. Step 4: Simplify right side
    20,356x = 929,579,121
  5. Step 5: Solve for x
    x = 929,579,121/20,356
  6. Step 6: Final answer
    x = 45,666.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.