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Finding the Third Proportional to 380,884 and 559,536

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Solution

The third proportional to 380,884 and 559,536 is: 821,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,884 : 559,536 = 559,536 : x
  2. Step 2: Convert to fraction form
    380,884/559,536 = 559,536/x
  3. Step 3: Cross multiply
    380,884x = 559,536 × 559,536
  4. Step 4: Simplify right side
    380,884x = 313,080,535,296
  5. Step 5: Solve for x
    x = 313,080,535,296/380,884
  6. Step 6: Final answer
    x = 821,983.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.