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Finding the Third Proportional to 312,745.50 and 674,127

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Solution

The third proportional to 312,745.50 and 674,127 is: 1,453,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,745.50 : 674,127 = 674,127 : x
  2. Step 2: Convert to fraction form
    312,745.50/674,127 = 674,127/x
  3. Step 3: Cross multiply
    312,745.50x = 674,127 × 674,127
  4. Step 4: Simplify right side
    312,745.50x = 454,447,212,129
  5. Step 5: Solve for x
    x = 454,447,212,129/312,745.50
  6. Step 6: Final answer
    x = 1,453,089.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.