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Finding the Third Proportional to 211,638 and 461,835

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Solution

The third proportional to 211,638 and 461,835 is: 1,007,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,638 : 461,835 = 461,835 : x
  2. Step 2: Convert to fraction form
    211,638/461,835 = 461,835/x
  3. Step 3: Cross multiply
    211,638x = 461,835 × 461,835
  4. Step 4: Simplify right side
    211,638x = 213,291,567,225
  5. Step 5: Solve for x
    x = 213,291,567,225/211,638
  6. Step 6: Final answer
    x = 1,007,813.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.