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Finding the Third Proportional to 21,252 and 31,230

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Solution

The third proportional to 21,252 and 31,230 is: 45,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252 : 31,230 = 31,230 : x
  2. Step 2: Convert to fraction form
    21,252/31,230 = 31,230/x
  3. Step 3: Cross multiply
    21,252x = 31,230 × 31,230
  4. Step 4: Simplify right side
    21,252x = 975,312,900
  5. Step 5: Solve for x
    x = 975,312,900/21,252
  6. Step 6: Final answer
    x = 45,892.76

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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.