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Finding the Third Proportional to 993,408 and 2,145,612

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Solution

The third proportional to 993,408 and 2,145,612 is: 4,634,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,408 : 2,145,612 = 2,145,612 : x
  2. Step 2: Convert to fraction form
    993,408/2,145,612 = 2,145,612/x
  3. Step 3: Cross multiply
    993,408x = 2,145,612 × 2,145,612
  4. Step 4: Simplify right side
    993,408x = 4,603,650,854,544
  5. Step 5: Solve for x
    x = 4,603,650,854,544/993,408
  6. Step 6: Final answer
    x = 4,634,199.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.