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Finding the Third Proportional to 131,203 and 286,147

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Solution

The third proportional to 131,203 and 286,147 is: 624,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,203 : 286,147 = 286,147 : x
  2. Step 2: Convert to fraction form
    131,203/286,147 = 286,147/x
  3. Step 3: Cross multiply
    131,203x = 286,147 × 286,147
  4. Step 4: Simplify right side
    131,203x = 81,880,105,609
  5. Step 5: Solve for x
    x = 81,880,105,609/131,203
  6. Step 6: Final answer
    x = 624,071.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.