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Finding the Third Proportional to 383,107 and 577,576

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Solution

The third proportional to 383,107 and 577,576 is: 870,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,107 : 577,576 = 577,576 : x
  2. Step 2: Convert to fraction form
    383,107/577,576 = 577,576/x
  3. Step 3: Cross multiply
    383,107x = 577,576 × 577,576
  4. Step 4: Simplify right side
    383,107x = 333,594,035,776
  5. Step 5: Solve for x
    x = 333,594,035,776/383,107
  6. Step 6: Final answer
    x = 870,759.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.