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Finding the Third Proportional to 353,664 and 768,888

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Solution

The third proportional to 353,664 and 768,888 is: 1,671,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,664 : 768,888 = 768,888 : x
  2. Step 2: Convert to fraction form
    353,664/768,888 = 768,888/x
  3. Step 3: Cross multiply
    353,664x = 768,888 × 768,888
  4. Step 4: Simplify right side
    353,664x = 591,188,756,544
  5. Step 5: Solve for x
    x = 591,188,756,544/353,664
  6. Step 6: Final answer
    x = 1,671,611.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.