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Finding the Third Proportional to 387,405 and 519,597

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Solution

The third proportional to 387,405 and 519,597 is: 696,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,405 : 519,597 = 519,597 : x
  2. Step 2: Convert to fraction form
    387,405/519,597 = 519,597/x
  3. Step 3: Cross multiply
    387,405x = 519,597 × 519,597
  4. Step 4: Simplify right side
    387,405x = 269,981,042,409
  5. Step 5: Solve for x
    x = 269,981,042,409/387,405
  6. Step 6: Final answer
    x = 696,896.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.