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Finding the Third Proportional to 21,343.27 and 31,236.43

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Solution

The third proportional to 21,343.27 and 31,236.43 is: 45,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.27 : 31,236.43 = 31,236.43 : x
  2. Step 2: Convert to fraction form
    21,343.27/31,236.43 = 31,236.43/x
  3. Step 3: Cross multiply
    21,343.27x = 31,236.43 × 31,236.43
  4. Step 4: Simplify right side
    21,343.27x = 975,714,612.07
  5. Step 5: Solve for x
    x = 975,714,612.07/21,343.27
  6. Step 6: Final answer
    x = 45,715.32

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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.