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Finding the Third Proportional to 205,830 and 439,308

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Solution

The third proportional to 205,830 and 439,308 is: 937,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830 : 439,308 = 439,308 : x
  2. Step 2: Convert to fraction form
    205,830/439,308 = 439,308/x
  3. Step 3: Cross multiply
    205,830x = 439,308 × 439,308
  4. Step 4: Simplify right side
    205,830x = 192,991,518,864
  5. Step 5: Solve for x
    x = 192,991,518,864/205,830
  6. Step 6: Final answer
    x = 937,625.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.