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Finding the Third Proportional to 515,424 and 770,736

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Solution

The third proportional to 515,424 and 770,736 is: 1,152,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,424 : 770,736 = 770,736 : x
  2. Step 2: Convert to fraction form
    515,424/770,736 = 770,736/x
  3. Step 3: Cross multiply
    515,424x = 770,736 × 770,736
  4. Step 4: Simplify right side
    515,424x = 594,033,981,696
  5. Step 5: Solve for x
    x = 594,033,981,696/515,424
  6. Step 6: Final answer
    x = 1,152,515.18

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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.