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Finding the Third Proportional to 421,697.75 and 918,270

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Solution

The third proportional to 421,697.75 and 918,270 is: 1,999,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,697.75 : 918,270 = 918,270 : x
  2. Step 2: Convert to fraction form
    421,697.75/918,270 = 918,270/x
  3. Step 3: Cross multiply
    421,697.75x = 918,270 × 918,270
  4. Step 4: Simplify right side
    421,697.75x = 843,219,792,900
  5. Step 5: Solve for x
    x = 843,219,792,900/421,697.75
  6. Step 6: Final answer
    x = 1,999,583.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.