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Finding the Third Proportional to 311,898.09 and 670,376.25

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Solution

The third proportional to 311,898.09 and 670,376.25 is: 1,440,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,898.09 : 670,376.25 = 670,376.25 : x
  2. Step 2: Convert to fraction form
    311,898.09/670,376.25 = 670,376.25/x
  3. Step 3: Cross multiply
    311,898.09x = 670,376.25 × 670,376.25
  4. Step 4: Simplify right side
    311,898.09x = 449,404,316,564.06
  5. Step 5: Solve for x
    x = 449,404,316,564.06/311,898.09
  6. Step 6: Final answer
    x = 1,440,869.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.