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Finding the Third Proportional to 400,810 and 600,111

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Solution

The third proportional to 400,810 and 600,111 is: 898,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,810 : 600,111 = 600,111 : x
  2. Step 2: Convert to fraction form
    400,810/600,111 = 600,111/x
  3. Step 3: Cross multiply
    400,810x = 600,111 × 600,111
  4. Step 4: Simplify right side
    400,810x = 360,133,212,321
  5. Step 5: Solve for x
    x = 360,133,212,321/400,810
  6. Step 6: Final answer
    x = 898,513.54

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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.