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Finding the Third Proportional to 20,402 and 31,207

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Solution

The third proportional to 20,402 and 31,207 is: 47,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402 : 31,207 = 31,207 : x
  2. Step 2: Convert to fraction form
    20,402/31,207 = 31,207/x
  3. Step 3: Cross multiply
    20,402x = 31,207 × 31,207
  4. Step 4: Simplify right side
    20,402x = 973,876,849
  5. Step 5: Solve for x
    x = 973,876,849/20,402
  6. Step 6: Final answer
    x = 47,734.38

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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.