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Finding the Third Proportional to 20,762 and 31,913

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Solution

The third proportional to 20,762 and 31,913 is: 49,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762 : 31,913 = 31,913 : x
  2. Step 2: Convert to fraction form
    20,762/31,913 = 31,913/x
  3. Step 3: Cross multiply
    20,762x = 31,913 × 31,913
  4. Step 4: Simplify right side
    20,762x = 1,018,439,569
  5. Step 5: Solve for x
    x = 1,018,439,569/20,762
  6. Step 6: Final answer
    x = 49,053.06

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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.