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Finding the Third Proportional to 400,569 and 618,516

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Solution

The third proportional to 400,569 and 618,516 is: 955,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,569 : 618,516 = 618,516 : x
  2. Step 2: Convert to fraction form
    400,569/618,516 = 618,516/x
  3. Step 3: Cross multiply
    400,569x = 618,516 × 618,516
  4. Step 4: Simplify right side
    400,569x = 382,562,042,256
  5. Step 5: Solve for x
    x = 382,562,042,256/400,569
  6. Step 6: Final answer
    x = 955,046.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.