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Finding the Third Proportional to 311,532.75 and 680,725.69

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Solution

The third proportional to 311,532.75 and 680,725.69 is: 1,487,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,532.75 : 680,725.69 = 680,725.69 : x
  2. Step 2: Convert to fraction form
    311,532.75/680,725.69 = 680,725.69/x
  3. Step 3: Cross multiply
    311,532.75x = 680,725.69 × 680,725.69
  4. Step 4: Simplify right side
    311,532.75x = 463,387,461,622.35
  5. Step 5: Solve for x
    x = 463,387,461,622.35/311,532.75
  6. Step 6: Final answer
    x = 1,487,443.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.