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Finding the Third Proportional to 211,105 and 315,603

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Solution

The third proportional to 211,105 and 315,603 is: 471,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,105 : 315,603 = 315,603 : x
  2. Step 2: Convert to fraction form
    211,105/315,603 = 315,603/x
  3. Step 3: Cross multiply
    211,105x = 315,603 × 315,603
  4. Step 4: Simplify right side
    211,105x = 99,605,253,609
  5. Step 5: Solve for x
    x = 99,605,253,609/211,105
  6. Step 6: Final answer
    x = 471,828.02

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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.