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Finding the Third Proportional to 307,813.50 and 661,621.50

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Solution

The third proportional to 307,813.50 and 661,621.50 is: 1,422,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.50 : 661,621.50 = 661,621.50 : x
  2. Step 2: Convert to fraction form
    307,813.50/661,621.50 = 661,621.50/x
  3. Step 3: Cross multiply
    307,813.50x = 661,621.50 × 661,621.50
  4. Step 4: Simplify right side
    307,813.50x = 437,743,009,262.25
  5. Step 5: Solve for x
    x = 437,743,009,262.25/307,813.50
  6. Step 6: Final answer
    x = 1,422,104.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.