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Finding the Third Proportional to 302,395.50 and 649,618.50

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Solution

The third proportional to 302,395.50 and 649,618.50 is: 1,395,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,395.50 : 649,618.50 = 649,618.50 : x
  2. Step 2: Convert to fraction form
    302,395.50/649,618.50 = 649,618.50/x
  3. Step 3: Cross multiply
    302,395.50x = 649,618.50 × 649,618.50
  4. Step 4: Simplify right side
    302,395.50x = 422,004,195,542.25
  5. Step 5: Solve for x
    x = 422,004,195,542.25/302,395.50
  6. Step 6: Final answer
    x = 1,395,537.29

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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.