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Finding the Third Proportional to 21,240 and 31,913

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Solution

The third proportional to 21,240 and 31,913 is: 47,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240 : 31,913 = 31,913 : x
  2. Step 2: Convert to fraction form
    21,240/31,913 = 31,913/x
  3. Step 3: Cross multiply
    21,240x = 31,913 × 31,913
  4. Step 4: Simplify right side
    21,240x = 1,018,439,569
  5. Step 5: Solve for x
    x = 1,018,439,569/21,240
  6. Step 6: Final answer
    x = 47,949.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.