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Finding the Third Proportional to 21,537 and 31,671

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Solution

The third proportional to 21,537 and 31,671 is: 46,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537 : 31,671 = 31,671 : x
  2. Step 2: Convert to fraction form
    21,537/31,671 = 31,671/x
  3. Step 3: Cross multiply
    21,537x = 31,671 × 31,671
  4. Step 4: Simplify right side
    21,537x = 1,003,052,241
  5. Step 5: Solve for x
    x = 1,003,052,241/21,537
  6. Step 6: Final answer
    x = 46,573.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.