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Finding the Third Proportional to 314,725.50 and 685,320.75

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Solution

The third proportional to 314,725.50 and 685,320.75 is: 1,492,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,725.50 : 685,320.75 = 685,320.75 : x
  2. Step 2: Convert to fraction form
    314,725.50/685,320.75 = 685,320.75/x
  3. Step 3: Cross multiply
    314,725.50x = 685,320.75 × 685,320.75
  4. Step 4: Simplify right side
    314,725.50x = 469,664,530,380.56
  5. Step 5: Solve for x
    x = 469,664,530,380.56/314,725.50
  6. Step 6: Final answer
    x = 1,492,298.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.