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Finding the Third Proportional to 129,255 and 273,413.25

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Solution

The third proportional to 129,255 and 273,413.25 is: 578,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,255 : 273,413.25 = 273,413.25 : x
  2. Step 2: Convert to fraction form
    129,255/273,413.25 = 273,413.25/x
  3. Step 3: Cross multiply
    129,255x = 273,413.25 × 273,413.25
  4. Step 4: Simplify right side
    129,255x = 74,754,805,275.56
  5. Step 5: Solve for x
    x = 74,754,805,275.56/129,255
  6. Step 6: Final answer
    x = 578,351.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.