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Finding the Third Proportional to 1,261.51 and 1,737.07

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Solution

The third proportional to 1,261.51 and 1,737.07 is: 2,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.51 : 1,737.07 = 1,737.07 : x
  2. Step 2: Convert to fraction form
    1,261.51/1,737.07 = 1,737.07/x
  3. Step 3: Cross multiply
    1,261.51x = 1,737.07 × 1,737.07
  4. Step 4: Simplify right side
    1,261.51x = 3,017,413.27
  5. Step 5: Solve for x
    x = 3,017,413.27/1,261.51
  6. Step 6: Final answer
    x = 2,391.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.