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Finding the Third Proportional to 20,854 and 31,461

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Solution

The third proportional to 20,854 and 31,461 is: 47,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854 : 31,461 = 31,461 : x
  2. Step 2: Convert to fraction form
    20,854/31,461 = 31,461/x
  3. Step 3: Cross multiply
    20,854x = 31,461 × 31,461
  4. Step 4: Simplify right side
    20,854x = 989,794,521
  5. Step 5: Solve for x
    x = 989,794,521/20,854
  6. Step 6: Final answer
    x = 47,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.