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Finding the Third Proportional to 21,254.25 and 31,233.19

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Solution

The third proportional to 21,254.25 and 31,233.19 is: 45,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.25 : 31,233.19 = 31,233.19 : x
  2. Step 2: Convert to fraction form
    21,254.25/31,233.19 = 31,233.19/x
  3. Step 3: Cross multiply
    21,254.25x = 31,233.19 × 31,233.19
  4. Step 4: Simplify right side
    21,254.25x = 975,512,001.41
  5. Step 5: Solve for x
    x = 975,512,001.41/21,254.25
  6. Step 6: Final answer
    x = 45,897.27

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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.