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Finding the Third Proportional to 206,660 and 319,369

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Solution

The third proportional to 206,660 and 319,369 is: 493,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,660 : 319,369 = 319,369 : x
  2. Step 2: Convert to fraction form
    206,660/319,369 = 319,369/x
  3. Step 3: Cross multiply
    206,660x = 319,369 × 319,369
  4. Step 4: Simplify right side
    206,660x = 101,996,558,161
  5. Step 5: Solve for x
    x = 101,996,558,161/206,660
  6. Step 6: Final answer
    x = 493,547.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.