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Finding the Third Proportional to 211,463 and 317,127

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Solution

The third proportional to 211,463 and 317,127 is: 475,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,463 : 317,127 = 317,127 : x
  2. Step 2: Convert to fraction form
    211,463/317,127 = 317,127/x
  3. Step 3: Cross multiply
    211,463x = 317,127 × 317,127
  4. Step 4: Simplify right side
    211,463x = 100,569,534,129
  5. Step 5: Solve for x
    x = 100,569,534,129/211,463
  6. Step 6: Final answer
    x = 475,589.27

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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.