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Finding the Third Proportional to 312,999.19 and 670,277.53

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Solution

The third proportional to 312,999.19 and 670,277.53 is: 1,435,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,999.19 : 670,277.53 = 670,277.53 : x
  2. Step 2: Convert to fraction form
    312,999.19/670,277.53 = 670,277.53/x
  3. Step 3: Cross multiply
    312,999.19x = 670,277.53 × 670,277.53
  4. Step 4: Simplify right side
    312,999.19x = 449,271,968,898.60
  5. Step 5: Solve for x
    x = 449,271,968,898.60/312,999.19
  6. Step 6: Final answer
    x = 1,435,377.43

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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.