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Finding the Third Proportional to 307,158.75 and 638,840.25

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Solution

The third proportional to 307,158.75 and 638,840.25 is: 1,328,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,158.75 : 638,840.25 = 638,840.25 : x
  2. Step 2: Convert to fraction form
    307,158.75/638,840.25 = 638,840.25/x
  3. Step 3: Cross multiply
    307,158.75x = 638,840.25 × 638,840.25
  4. Step 4: Simplify right side
    307,158.75x = 408,116,865,020.06
  5. Step 5: Solve for x
    x = 408,116,865,020.06/307,158.75
  6. Step 6: Final answer
    x = 1,328,683.83

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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.