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Finding the Third Proportional to 20,428 and 31,254

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Solution

The third proportional to 20,428 and 31,254 is: 47,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 31,254 = 31,254 : x
  2. Step 2: Convert to fraction form
    20,428/31,254 = 31,254/x
  3. Step 3: Cross multiply
    20,428x = 31,254 × 31,254
  4. Step 4: Simplify right side
    20,428x = 976,812,516
  5. Step 5: Solve for x
    x = 976,812,516/20,428
  6. Step 6: Final answer
    x = 47,817.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.