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Finding the Third Proportional to 421,093 and 913,125

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Solution

The third proportional to 421,093 and 913,125 is: 1,980,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,093 : 913,125 = 913,125 : x
  2. Step 2: Convert to fraction form
    421,093/913,125 = 913,125/x
  3. Step 3: Cross multiply
    421,093x = 913,125 × 913,125
  4. Step 4: Simplify right side
    421,093x = 833,797,265,625
  5. Step 5: Solve for x
    x = 833,797,265,625/421,093
  6. Step 6: Final answer
    x = 1,980,078.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.