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Finding the Third Proportional to 131,421 and 203,921

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Solution

The third proportional to 131,421 and 203,921 is: 316,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,421 : 203,921 = 203,921 : x
  2. Step 2: Convert to fraction form
    131,421/203,921 = 203,921/x
  3. Step 3: Cross multiply
    131,421x = 203,921 × 203,921
  4. Step 4: Simplify right side
    131,421x = 41,583,774,241
  5. Step 5: Solve for x
    x = 41,583,774,241/131,421
  6. Step 6: Final answer
    x = 316,416.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.