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Finding the Third Proportional to 20,506 and 31,633

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Solution

The third proportional to 20,506 and 31,633 is: 48,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506 : 31,633 = 31,633 : x
  2. Step 2: Convert to fraction form
    20,506/31,633 = 31,633/x
  3. Step 3: Cross multiply
    20,506x = 31,633 × 31,633
  4. Step 4: Simplify right side
    20,506x = 1,000,646,689
  5. Step 5: Solve for x
    x = 1,000,646,689/20,506
  6. Step 6: Final answer
    x = 48,797.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.