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Finding the Third Proportional to 297,816 and 628,752

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Solution

The third proportional to 297,816 and 628,752 is: 1,327,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,816 : 628,752 = 628,752 : x
  2. Step 2: Convert to fraction form
    297,816/628,752 = 628,752/x
  3. Step 3: Cross multiply
    297,816x = 628,752 × 628,752
  4. Step 4: Simplify right side
    297,816x = 395,329,077,504
  5. Step 5: Solve for x
    x = 395,329,077,504/297,816
  6. Step 6: Final answer
    x = 1,327,427.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.