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Finding the Third Proportional to 358,869 and 522,738

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Solution

The third proportional to 358,869 and 522,738 is: 761,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,869 : 522,738 = 522,738 : x
  2. Step 2: Convert to fraction form
    358,869/522,738 = 522,738/x
  3. Step 3: Cross multiply
    358,869x = 522,738 × 522,738
  4. Step 4: Simplify right side
    358,869x = 273,255,016,644
  5. Step 5: Solve for x
    x = 273,255,016,644/358,869
  6. Step 6: Final answer
    x = 761,433.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.