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Finding the Third Proportional to 313,098.75 and 670,470.75

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Solution

The third proportional to 313,098.75 and 670,470.75 is: 1,435,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,098.75 : 670,470.75 = 670,470.75 : x
  2. Step 2: Convert to fraction form
    313,098.75/670,470.75 = 670,470.75/x
  3. Step 3: Cross multiply
    313,098.75x = 670,470.75 × 670,470.75
  4. Step 4: Simplify right side
    313,098.75x = 449,531,026,605.56
  5. Step 5: Solve for x
    x = 449,531,026,605.56/313,098.75
  6. Step 6: Final answer
    x = 1,435,748.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.