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Finding the Third Proportional to 389,100 and 582,786

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Solution

The third proportional to 389,100 and 582,786 is: 872,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,100 : 582,786 = 582,786 : x
  2. Step 2: Convert to fraction form
    389,100/582,786 = 582,786/x
  3. Step 3: Cross multiply
    389,100x = 582,786 × 582,786
  4. Step 4: Simplify right side
    389,100x = 339,639,521,796
  5. Step 5: Solve for x
    x = 339,639,521,796/389,100
  6. Step 6: Final answer
    x = 872,884.92

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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.