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Finding the Third Proportional to 211,929.75 and 317,898

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Solution

The third proportional to 211,929.75 and 317,898 is: 476,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,929.75 : 317,898 = 317,898 : x
  2. Step 2: Convert to fraction form
    211,929.75/317,898 = 317,898/x
  3. Step 3: Cross multiply
    211,929.75x = 317,898 × 317,898
  4. Step 4: Simplify right side
    211,929.75x = 101,059,138,404
  5. Step 5: Solve for x
    x = 101,059,138,404/211,929.75
  6. Step 6: Final answer
    x = 476,852.06

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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.