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Finding the Third Proportional to 276,216 and 426,535

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Solution

The third proportional to 276,216 and 426,535 is: 658,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,216 : 426,535 = 426,535 : x
  2. Step 2: Convert to fraction form
    276,216/426,535 = 426,535/x
  3. Step 3: Cross multiply
    276,216x = 426,535 × 426,535
  4. Step 4: Simplify right side
    276,216x = 181,932,106,225
  5. Step 5: Solve for x
    x = 181,932,106,225/276,216
  6. Step 6: Final answer
    x = 658,658.83

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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.