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Finding the Third Proportional to 6,413.50 and 9,566

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Solution

The third proportional to 6,413.50 and 9,566 is: 14,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.50 : 9,566 = 9,566 : x
  2. Step 2: Convert to fraction form
    6,413.50/9,566 = 9,566/x
  3. Step 3: Cross multiply
    6,413.50x = 9,566 × 9,566
  4. Step 4: Simplify right side
    6,413.50x = 91,508,356
  5. Step 5: Solve for x
    x = 91,508,356/6,413.50
  6. Step 6: Final answer
    x = 14,268.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.