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Finding the Third Proportional to 288,158 and 620,704

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Solution

The third proportional to 288,158 and 620,704 is: 1,337,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,158 : 620,704 = 620,704 : x
  2. Step 2: Convert to fraction form
    288,158/620,704 = 620,704/x
  3. Step 3: Cross multiply
    288,158x = 620,704 × 620,704
  4. Step 4: Simplify right side
    288,158x = 385,273,455,616
  5. Step 5: Solve for x
    x = 385,273,455,616/288,158
  6. Step 6: Final answer
    x = 1,337,021.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.