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Finding the Third Proportional to 307,910.75 and 719,418.38

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Solution

The third proportional to 307,910.75 and 719,418.38 is: 1,680,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,910.75 : 719,418.38 = 719,418.38 : x
  2. Step 2: Convert to fraction form
    307,910.75/719,418.38 = 719,418.38/x
  3. Step 3: Cross multiply
    307,910.75x = 719,418.38 × 719,418.38
  4. Step 4: Simplify right side
    307,910.75x = 517,562,798,287.64
  5. Step 5: Solve for x
    x = 517,562,798,287.64/307,910.75
  6. Step 6: Final answer
    x = 1,680,885.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.