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Finding the Third Proportional to 211,026 and 488,104

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Solution

The third proportional to 211,026 and 488,104 is: 1,128,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,026 : 488,104 = 488,104 : x
  2. Step 2: Convert to fraction form
    211,026/488,104 = 488,104/x
  3. Step 3: Cross multiply
    211,026x = 488,104 × 488,104
  4. Step 4: Simplify right side
    211,026x = 238,245,514,816
  5. Step 5: Solve for x
    x = 238,245,514,816/211,026
  6. Step 6: Final answer
    x = 1,128,986.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.