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Finding the Third Proportional to 211,103 and 315,600

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Solution

The third proportional to 211,103 and 315,600 is: 471,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,103 : 315,600 = 315,600 : x
  2. Step 2: Convert to fraction form
    211,103/315,600 = 315,600/x
  3. Step 3: Cross multiply
    211,103x = 315,600 × 315,600
  4. Step 4: Simplify right side
    211,103x = 99,603,360,000
  5. Step 5: Solve for x
    x = 99,603,360,000/211,103
  6. Step 6: Final answer
    x = 471,823.52

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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.