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Finding the Third Proportional to 356,622 and 485,725

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Solution

The third proportional to 356,622 and 485,725 is: 661,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,622 : 485,725 = 485,725 : x
  2. Step 2: Convert to fraction form
    356,622/485,725 = 485,725/x
  3. Step 3: Cross multiply
    356,622x = 485,725 × 485,725
  4. Step 4: Simplify right side
    356,622x = 235,928,775,625
  5. Step 5: Solve for x
    x = 235,928,775,625/356,622
  6. Step 6: Final answer
    x = 661,565.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.