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Finding the Third Proportional to 379,008 and 520,704

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Solution

The third proportional to 379,008 and 520,704 is: 715,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,008 : 520,704 = 520,704 : x
  2. Step 2: Convert to fraction form
    379,008/520,704 = 520,704/x
  3. Step 3: Cross multiply
    379,008x = 520,704 × 520,704
  4. Step 4: Simplify right side
    379,008x = 271,132,655,616
  5. Step 5: Solve for x
    x = 271,132,655,616/379,008
  6. Step 6: Final answer
    x = 715,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.