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Finding the Third Proportional to 276,205 and 426,518

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Solution

The third proportional to 276,205 and 426,518 is: 658,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,205 : 426,518 = 426,518 : x
  2. Step 2: Convert to fraction form
    276,205/426,518 = 426,518/x
  3. Step 3: Cross multiply
    276,205x = 426,518 × 426,518
  4. Step 4: Simplify right side
    276,205x = 181,917,604,324
  5. Step 5: Solve for x
    x = 181,917,604,324/276,205
  6. Step 6: Final answer
    x = 658,632.55

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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.