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Finding the Third Proportional to 206,966 and 311,658

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Solution

The third proportional to 206,966 and 311,658 is: 469,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966 : 311,658 = 311,658 : x
  2. Step 2: Convert to fraction form
    206,966/311,658 = 311,658/x
  3. Step 3: Cross multiply
    206,966x = 311,658 × 311,658
  4. Step 4: Simplify right side
    206,966x = 97,130,708,964
  5. Step 5: Solve for x
    x = 97,130,708,964/206,966
  6. Step 6: Final answer
    x = 469,307.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.