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Finding the Third Proportional to 426,726 and 641,223

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Solution

The third proportional to 426,726 and 641,223 is: 963,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,726 : 641,223 = 641,223 : x
  2. Step 2: Convert to fraction form
    426,726/641,223 = 641,223/x
  3. Step 3: Cross multiply
    426,726x = 641,223 × 641,223
  4. Step 4: Simplify right side
    426,726x = 411,166,935,729
  5. Step 5: Solve for x
    x = 411,166,935,729/426,726
  6. Step 6: Final answer
    x = 963,538.51

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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.