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Finding the Third Proportional to 21,534 and 31,450

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Solution

The third proportional to 21,534 and 31,450 is: 45,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534 : 31,450 = 31,450 : x
  2. Step 2: Convert to fraction form
    21,534/31,450 = 31,450/x
  3. Step 3: Cross multiply
    21,534x = 31,450 × 31,450
  4. Step 4: Simplify right side
    21,534x = 989,102,500
  5. Step 5: Solve for x
    x = 989,102,500/21,534
  6. Step 6: Final answer
    x = 45,932.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.