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Finding the Third Proportional to 426,728 and 641,226

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Solution

The third proportional to 426,728 and 641,226 is: 963,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,728 : 641,226 = 641,226 : x
  2. Step 2: Convert to fraction form
    426,728/641,226 = 641,226/x
  3. Step 3: Cross multiply
    426,728x = 641,226 × 641,226
  4. Step 4: Simplify right side
    426,728x = 411,170,783,076
  5. Step 5: Solve for x
    x = 411,170,783,076/426,728
  6. Step 6: Final answer
    x = 963,543.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.