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Finding the Third Proportional to 211,718 and 317,546

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Solution

The third proportional to 211,718 and 317,546 is: 476,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,718 : 317,546 = 317,546 : x
  2. Step 2: Convert to fraction form
    211,718/317,546 = 317,546/x
  3. Step 3: Cross multiply
    211,718x = 317,546 × 317,546
  4. Step 4: Simplify right side
    211,718x = 100,835,462,116
  5. Step 5: Solve for x
    x = 100,835,462,116/211,718
  6. Step 6: Final answer
    x = 476,272.50

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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.