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Finding the Third Proportional to 360,648 and 771,328

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Solution

The third proportional to 360,648 and 771,328 is: 1,649,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,648 : 771,328 = 771,328 : x
  2. Step 2: Convert to fraction form
    360,648/771,328 = 771,328/x
  3. Step 3: Cross multiply
    360,648x = 771,328 × 771,328
  4. Step 4: Simplify right side
    360,648x = 594,946,883,584
  5. Step 5: Solve for x
    x = 594,946,883,584/360,648
  6. Step 6: Final answer
    x = 1,649,660.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.