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Finding the Third Proportional to 985.13 and 1,413.19

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Solution

The third proportional to 985.13 and 1,413.19 is: 2,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.13 : 1,413.19 = 1,413.19 : x
  2. Step 2: Convert to fraction form
    985.13/1,413.19 = 1,413.19/x
  3. Step 3: Cross multiply
    985.13x = 1,413.19 × 1,413.19
  4. Step 4: Simplify right side
    985.13x = 1,997,098.91
  5. Step 5: Solve for x
    x = 1,997,098.91/985.13
  6. Step 6: Final answer
    x = 2,027.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.