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Finding the Third Proportional to 358,904 and 521,652

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Solution

The third proportional to 358,904 and 521,652 is: 758,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,904 : 521,652 = 521,652 : x
  2. Step 2: Convert to fraction form
    358,904/521,652 = 521,652/x
  3. Step 3: Cross multiply
    358,904x = 521,652 × 521,652
  4. Step 4: Simplify right side
    358,904x = 272,120,809,104
  5. Step 5: Solve for x
    x = 272,120,809,104/358,904
  6. Step 6: Final answer
    x = 758,199.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.