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Finding the Third Proportional to 368,292 and 557,418

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Solution

The third proportional to 368,292 and 557,418 is: 843,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,292 : 557,418 = 557,418 : x
  2. Step 2: Convert to fraction form
    368,292/557,418 = 557,418/x
  3. Step 3: Cross multiply
    368,292x = 557,418 × 557,418
  4. Step 4: Simplify right side
    368,292x = 310,714,826,724
  5. Step 5: Solve for x
    x = 310,714,826,724/368,292
  6. Step 6: Final answer
    x = 843,664.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.