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Finding the Third Proportional to 131,388 and 203,853

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Solution

The third proportional to 131,388 and 203,853 is: 316,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,388 : 203,853 = 203,853 : x
  2. Step 2: Convert to fraction form
    131,388/203,853 = 203,853/x
  3. Step 3: Cross multiply
    131,388x = 203,853 × 203,853
  4. Step 4: Simplify right side
    131,388x = 41,556,045,609
  5. Step 5: Solve for x
    x = 41,556,045,609/131,388
  6. Step 6: Final answer
    x = 316,284.94

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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.