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Finding the Third Proportional to 339,783 and 539,808

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Solution

The third proportional to 339,783 and 539,808 is: 857,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,783 : 539,808 = 539,808 : x
  2. Step 2: Convert to fraction form
    339,783/539,808 = 539,808/x
  3. Step 3: Cross multiply
    339,783x = 539,808 × 539,808
  4. Step 4: Simplify right side
    339,783x = 291,392,676,864
  5. Step 5: Solve for x
    x = 291,392,676,864/339,783
  6. Step 6: Final answer
    x = 857,584.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.