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Finding the Third Proportional to 314,313.75 and 678,415.50

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Solution

The third proportional to 314,313.75 and 678,415.50 is: 1,464,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,313.75 : 678,415.50 = 678,415.50 : x
  2. Step 2: Convert to fraction form
    314,313.75/678,415.50 = 678,415.50/x
  3. Step 3: Cross multiply
    314,313.75x = 678,415.50 × 678,415.50
  4. Step 4: Simplify right side
    314,313.75x = 460,247,590,640.25
  5. Step 5: Solve for x
    x = 460,247,590,640.25/314,313.75
  6. Step 6: Final answer
    x = 1,464,293.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.