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Finding the Third Proportional to 143,048 and 307,912

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Solution

The third proportional to 143,048 and 307,912 is: 662,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,048 : 307,912 = 307,912 : x
  2. Step 2: Convert to fraction form
    143,048/307,912 = 307,912/x
  3. Step 3: Cross multiply
    143,048x = 307,912 × 307,912
  4. Step 4: Simplify right side
    143,048x = 94,809,799,744
  5. Step 5: Solve for x
    x = 94,809,799,744/143,048
  6. Step 6: Final answer
    x = 662,783.12

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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.