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Finding the Third Proportional to 21,315 and 31,972

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Solution

The third proportional to 21,315 and 31,972 is: 47,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315 : 31,972 = 31,972 : x
  2. Step 2: Convert to fraction form
    21,315/31,972 = 31,972/x
  3. Step 3: Cross multiply
    21,315x = 31,972 × 31,972
  4. Step 4: Simplify right side
    21,315x = 1,022,208,784
  5. Step 5: Solve for x
    x = 1,022,208,784/21,315
  6. Step 6: Final answer
    x = 47,957.25

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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.