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Finding the Third Proportional to 316,968 and 690,800

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Solution

The third proportional to 316,968 and 690,800 is: 1,505,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,968 : 690,800 = 690,800 : x
  2. Step 2: Convert to fraction form
    316,968/690,800 = 690,800/x
  3. Step 3: Cross multiply
    316,968x = 690,800 × 690,800
  4. Step 4: Simplify right side
    316,968x = 477,204,640,000
  5. Step 5: Solve for x
    x = 477,204,640,000/316,968
  6. Step 6: Final answer
    x = 1,505,529.39

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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.