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Finding the Third Proportional to 211,459 and 317,121

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Solution

The third proportional to 211,459 and 317,121 is: 475,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,459 : 317,121 = 317,121 : x
  2. Step 2: Convert to fraction form
    211,459/317,121 = 317,121/x
  3. Step 3: Cross multiply
    211,459x = 317,121 × 317,121
  4. Step 4: Simplify right side
    211,459x = 100,565,728,641
  5. Step 5: Solve for x
    x = 100,565,728,641/211,459
  6. Step 6: Final answer
    x = 475,580.27

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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.