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Finding the Third Proportional to 213,682.50 and 317,229.75

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Solution

The third proportional to 213,682.50 and 317,229.75 is: 470,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682.50 : 317,229.75 = 317,229.75 : x
  2. Step 2: Convert to fraction form
    213,682.50/317,229.75 = 317,229.75/x
  3. Step 3: Cross multiply
    213,682.50x = 317,229.75 × 317,229.75
  4. Step 4: Simplify right side
    213,682.50x = 100,634,714,285.06
  5. Step 5: Solve for x
    x = 100,634,714,285.06/213,682.50
  6. Step 6: Final answer
    x = 470,954.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.