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Finding the Third Proportional to 205,984 and 275,888

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Solution

The third proportional to 205,984 and 275,888 is: 369,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,984 : 275,888 = 275,888 : x
  2. Step 2: Convert to fraction form
    205,984/275,888 = 275,888/x
  3. Step 3: Cross multiply
    205,984x = 275,888 × 275,888
  4. Step 4: Simplify right side
    205,984x = 76,114,188,544
  5. Step 5: Solve for x
    x = 76,114,188,544/205,984
  6. Step 6: Final answer
    x = 369,515.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.