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Finding the Third Proportional to 292.22 and 642.66

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Solution

The third proportional to 292.22 and 642.66 is: 1,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.22 : 642.66 = 642.66 : x
  2. Step 2: Convert to fraction form
    292.22/642.66 = 642.66/x
  3. Step 3: Cross multiply
    292.22x = 642.66 × 642.66
  4. Step 4: Simplify right side
    292.22x = 413,007.06
  5. Step 5: Solve for x
    x = 413,007.06/292.22
  6. Step 6: Final answer
    x = 1,413.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.