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Finding the Third Proportional to 143,262 and 312,201

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Solution

The third proportional to 143,262 and 312,201 is: 680,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,262 : 312,201 = 312,201 : x
  2. Step 2: Convert to fraction form
    143,262/312,201 = 312,201/x
  3. Step 3: Cross multiply
    143,262x = 312,201 × 312,201
  4. Step 4: Simplify right side
    143,262x = 97,469,464,401
  5. Step 5: Solve for x
    x = 97,469,464,401/143,262
  6. Step 6: Final answer
    x = 680,358.12

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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.