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Finding the Third Proportional to 131,303 and 203,699

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Solution

The third proportional to 131,303 and 203,699 is: 316,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,303 : 203,699 = 203,699 : x
  2. Step 2: Convert to fraction form
    131,303/203,699 = 203,699/x
  3. Step 3: Cross multiply
    131,303x = 203,699 × 203,699
  4. Step 4: Simplify right side
    131,303x = 41,493,282,601
  5. Step 5: Solve for x
    x = 41,493,282,601/131,303
  6. Step 6: Final answer
    x = 316,011.69

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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.