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Finding the Third Proportional to 129,413.25 and 276,818.25

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Solution

The third proportional to 129,413.25 and 276,818.25 is: 592,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.25 : 276,818.25 = 276,818.25 : x
  2. Step 2: Convert to fraction form
    129,413.25/276,818.25 = 276,818.25/x
  3. Step 3: Cross multiply
    129,413.25x = 276,818.25 × 276,818.25
  4. Step 4: Simplify right side
    129,413.25x = 76,628,343,533.06
  5. Step 5: Solve for x
    x = 76,628,343,533.06/129,413.25
  6. Step 6: Final answer
    x = 592,121.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.