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Finding the Third Proportional to 406,485 and 603,855

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Solution

The third proportional to 406,485 and 603,855 is: 897,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,485 : 603,855 = 603,855 : x
  2. Step 2: Convert to fraction form
    406,485/603,855 = 603,855/x
  3. Step 3: Cross multiply
    406,485x = 603,855 × 603,855
  4. Step 4: Simplify right side
    406,485x = 364,640,861,025
  5. Step 5: Solve for x
    x = 364,640,861,025/406,485
  6. Step 6: Final answer
    x = 897,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.