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Finding the Third Proportional to 360,410 and 519,159

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Solution

The third proportional to 360,410 and 519,159 is: 747,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,410 : 519,159 = 519,159 : x
  2. Step 2: Convert to fraction form
    360,410/519,159 = 519,159/x
  3. Step 3: Cross multiply
    360,410x = 519,159 × 519,159
  4. Step 4: Simplify right side
    360,410x = 269,526,067,281
  5. Step 5: Solve for x
    x = 269,526,067,281/360,410
  6. Step 6: Final answer
    x = 747,831.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.