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Finding the Third Proportional to 612,284 and 1,297,408

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Solution

The third proportional to 612,284 and 1,297,408 is: 2,749,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,284 : 1,297,408 = 1,297,408 : x
  2. Step 2: Convert to fraction form
    612,284/1,297,408 = 1,297,408/x
  3. Step 3: Cross multiply
    612,284x = 1,297,408 × 1,297,408
  4. Step 4: Simplify right side
    612,284x = 1,683,267,518,464
  5. Step 5: Solve for x
    x = 1,683,267,518,464/612,284
  6. Step 6: Final answer
    x = 2,749,161.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.