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Finding the Third Proportional to 389,576 and 584,364

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Solution

The third proportional to 389,576 and 584,364 is: 876,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,576 : 584,364 = 584,364 : x
  2. Step 2: Convert to fraction form
    389,576/584,364 = 584,364/x
  3. Step 3: Cross multiply
    389,576x = 584,364 × 584,364
  4. Step 4: Simplify right side
    389,576x = 341,481,284,496
  5. Step 5: Solve for x
    x = 341,481,284,496/389,576
  6. Step 6: Final answer
    x = 876,546

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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.