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Finding the Third Proportional to 307,210.50 and 638,950.50

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Solution

The third proportional to 307,210.50 and 638,950.50 is: 1,328,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,210.50 : 638,950.50 = 638,950.50 : x
  2. Step 2: Convert to fraction form
    307,210.50/638,950.50 = 638,950.50/x
  3. Step 3: Cross multiply
    307,210.50x = 638,950.50 × 638,950.50
  4. Step 4: Simplify right side
    307,210.50x = 408,257,741,450.25
  5. Step 5: Solve for x
    x = 408,257,741,450.25/307,210.50
  6. Step 6: Final answer
    x = 1,328,918.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.