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Finding the Third Proportional to 206,820 and 311,460

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Solution

The third proportional to 206,820 and 311,460 is: 469,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820 : 311,460 = 311,460 : x
  2. Step 2: Convert to fraction form
    206,820/311,460 = 311,460/x
  3. Step 3: Cross multiply
    206,820x = 311,460 × 311,460
  4. Step 4: Simplify right side
    206,820x = 97,007,331,600
  5. Step 5: Solve for x
    x = 97,007,331,600/206,820
  6. Step 6: Final answer
    x = 469,042.32

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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.