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Finding the Third Proportional to 131,521 and 203,420

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Solution

The third proportional to 131,521 and 203,420 is: 314,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,521 : 203,420 = 203,420 : x
  2. Step 2: Convert to fraction form
    131,521/203,420 = 203,420/x
  3. Step 3: Cross multiply
    131,521x = 203,420 × 203,420
  4. Step 4: Simplify right side
    131,521x = 41,379,696,400
  5. Step 5: Solve for x
    x = 41,379,696,400/131,521
  6. Step 6: Final answer
    x = 314,624.25

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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.