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Finding the Third Proportional to 206,820 and 311,461

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Solution

The third proportional to 206,820 and 311,461 is: 469,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 311,461 = 311,461 : x
  2. Step 2: Convert to fraction form
    206,820/311,461 = 311,461/x
  3. Step 3: Cross multiply
    206,820x = 311,461 × 311,461
  4. Step 4: Simplify right side
    206,820x = 97,007,954,521
  5. Step 5: Solve for x
    x = 97,007,954,521/206,820
  6. Step 6: Final answer
    x = 469,045.33

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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.