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Finding the Third Proportional to 400,658 and 599,715

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Solution

The third proportional to 400,658 and 599,715 is: 897,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658 : 599,715 = 599,715 : x
  2. Step 2: Convert to fraction form
    400,658/599,715 = 599,715/x
  3. Step 3: Cross multiply
    400,658x = 599,715 × 599,715
  4. Step 4: Simplify right side
    400,658x = 359,658,081,225
  5. Step 5: Solve for x
    x = 359,658,081,225/400,658
  6. Step 6: Final answer
    x = 897,668.54

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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.