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Finding the Third Proportional to 402,388 and 603,632

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Solution

The third proportional to 402,388 and 603,632 is: 905,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,388 : 603,632 = 603,632 : x
  2. Step 2: Convert to fraction form
    402,388/603,632 = 603,632/x
  3. Step 3: Cross multiply
    402,388x = 603,632 × 603,632
  4. Step 4: Simplify right side
    402,388x = 364,371,591,424
  5. Step 5: Solve for x
    x = 364,371,591,424/402,388
  6. Step 6: Final answer
    x = 905,523.01

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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.