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Finding the Third Proportional to 402,394 and 603,639

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Solution

The third proportional to 402,394 and 603,639 is: 905,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,394 : 603,639 = 603,639 : x
  2. Step 2: Convert to fraction form
    402,394/603,639 = 603,639/x
  3. Step 3: Cross multiply
    402,394x = 603,639 × 603,639
  4. Step 4: Simplify right side
    402,394x = 364,380,042,321
  5. Step 5: Solve for x
    x = 364,380,042,321/402,394
  6. Step 6: Final answer
    x = 905,530.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.