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Finding the Third Proportional to 20,490 and 31,645

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Solution

The third proportional to 20,490 and 31,645 is: 48,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490 : 31,645 = 31,645 : x
  2. Step 2: Convert to fraction form
    20,490/31,645 = 31,645/x
  3. Step 3: Cross multiply
    20,490x = 31,645 × 31,645
  4. Step 4: Simplify right side
    20,490x = 1,001,406,025
  5. Step 5: Solve for x
    x = 1,001,406,025/20,490
  6. Step 6: Final answer
    x = 48,872.91

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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.