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Finding the Third Proportional to 311,070 and 666,201

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Solution

The third proportional to 311,070 and 666,201 is: 1,426,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,070 : 666,201 = 666,201 : x
  2. Step 2: Convert to fraction form
    311,070/666,201 = 666,201/x
  3. Step 3: Cross multiply
    311,070x = 666,201 × 666,201
  4. Step 4: Simplify right side
    311,070x = 443,823,772,401
  5. Step 5: Solve for x
    x = 443,823,772,401/311,070
  6. Step 6: Final answer
    x = 1,426,764.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.