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Finding the Third Proportional to 381,208 and 559,080

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Solution

The third proportional to 381,208 and 559,080 is: 819,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,208 : 559,080 = 559,080 : x
  2. Step 2: Convert to fraction form
    381,208/559,080 = 559,080/x
  3. Step 3: Cross multiply
    381,208x = 559,080 × 559,080
  4. Step 4: Simplify right side
    381,208x = 312,570,446,400
  5. Step 5: Solve for x
    x = 312,570,446,400/381,208
  6. Step 6: Final answer
    x = 819,947.24

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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.