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Finding the Third Proportional to 22,583 and 31,773

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Solution

The third proportional to 22,583 and 31,773 is: 44,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583 : 31,773 = 31,773 : x
  2. Step 2: Convert to fraction form
    22,583/31,773 = 31,773/x
  3. Step 3: Cross multiply
    22,583x = 31,773 × 31,773
  4. Step 4: Simplify right side
    22,583x = 1,009,523,529
  5. Step 5: Solve for x
    x = 1,009,523,529/22,583
  6. Step 6: Final answer
    x = 44,702.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.