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Finding the Third Proportional to 276,210 and 426,525.75

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Solution

The third proportional to 276,210 and 426,525.75 is: 658,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,210 : 426,525.75 = 426,525.75 : x
  2. Step 2: Convert to fraction form
    276,210/426,525.75 = 426,525.75/x
  3. Step 3: Cross multiply
    276,210x = 426,525.75 × 426,525.75
  4. Step 4: Simplify right side
    276,210x = 181,924,215,413.06
  5. Step 5: Solve for x
    x = 181,924,215,413.06/276,210
  6. Step 6: Final answer
    x = 658,644.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.