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Finding the Third Proportional to 211,682 and 291,603

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Solution

The third proportional to 211,682 and 291,603 is: 401,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,682 : 291,603 = 291,603 : x
  2. Step 2: Convert to fraction form
    211,682/291,603 = 291,603/x
  3. Step 3: Cross multiply
    211,682x = 291,603 × 291,603
  4. Step 4: Simplify right side
    211,682x = 85,032,309,609
  5. Step 5: Solve for x
    x = 85,032,309,609/211,682
  6. Step 6: Final answer
    x = 401,698.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.