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Finding the Third Proportional to 509,362 and 689,305

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Solution

The third proportional to 509,362 and 689,305 is: 932,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,362 : 689,305 = 689,305 : x
  2. Step 2: Convert to fraction form
    509,362/689,305 = 689,305/x
  3. Step 3: Cross multiply
    509,362x = 689,305 × 689,305
  4. Step 4: Simplify right side
    509,362x = 475,141,383,025
  5. Step 5: Solve for x
    x = 475,141,383,025/509,362
  6. Step 6: Final answer
    x = 932,816.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.