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Finding the Third Proportional to 312,015 and 638,815.50

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Solution

The third proportional to 312,015 and 638,815.50 is: 1,307,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,015 : 638,815.50 = 638,815.50 : x
  2. Step 2: Convert to fraction form
    312,015/638,815.50 = 638,815.50/x
  3. Step 3: Cross multiply
    312,015x = 638,815.50 × 638,815.50
  4. Step 4: Simplify right side
    312,015x = 408,085,243,040.25
  5. Step 5: Solve for x
    x = 408,085,243,040.25/312,015
  6. Step 6: Final answer
    x = 1,307,902.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.