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Finding the Third Proportional to 642.94 and 1,413.28

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Solution

The third proportional to 642.94 and 1,413.28 is: 3,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 1,413.28 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    642.94/1,413.28 = 1,413.28/x
  3. Step 3: Cross multiply
    642.94x = 1,413.28 × 1,413.28
  4. Step 4: Simplify right side
    642.94x = 1,997,363.89
  5. Step 5: Solve for x
    x = 1,997,363.89/642.94
  6. Step 6: Final answer
    x = 3,106.62

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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.