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Finding the Third Proportional to 20,506 and 30,718

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Solution

The third proportional to 20,506 and 30,718 is: 46,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506 : 30,718 = 30,718 : x
  2. Step 2: Convert to fraction form
    20,506/30,718 = 30,718/x
  3. Step 3: Cross multiply
    20,506x = 30,718 × 30,718
  4. Step 4: Simplify right side
    20,506x = 943,595,524
  5. Step 5: Solve for x
    x = 943,595,524/20,506
  6. Step 6: Final answer
    x = 46,015.58

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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.