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Finding the Third Proportional to 401,982.75 and 850,621.50

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Solution

The third proportional to 401,982.75 and 850,621.50 is: 1,799,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,982.75 : 850,621.50 = 850,621.50 : x
  2. Step 2: Convert to fraction form
    401,982.75/850,621.50 = 850,621.50/x
  3. Step 3: Cross multiply
    401,982.75x = 850,621.50 × 850,621.50
  4. Step 4: Simplify right side
    401,982.75x = 723,556,936,262.25
  5. Step 5: Solve for x
    x = 723,556,936,262.25/401,982.75
  6. Step 6: Final answer
    x = 1,799,970.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.