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Finding the Third Proportional to 20,324 and 31,454

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Solution

The third proportional to 20,324 and 31,454 is: 48,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324 : 31,454 = 31,454 : x
  2. Step 2: Convert to fraction form
    20,324/31,454 = 31,454/x
  3. Step 3: Cross multiply
    20,324x = 31,454 × 31,454
  4. Step 4: Simplify right side
    20,324x = 989,354,116
  5. Step 5: Solve for x
    x = 989,354,116/20,324
  6. Step 6: Final answer
    x = 48,679.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.