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Finding the Third Proportional to 421,848 and 909,993

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Solution

The third proportional to 421,848 and 909,993 is: 1,962,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848 : 909,993 = 909,993 : x
  2. Step 2: Convert to fraction form
    421,848/909,993 = 909,993/x
  3. Step 3: Cross multiply
    421,848x = 909,993 × 909,993
  4. Step 4: Simplify right side
    421,848x = 828,087,260,049
  5. Step 5: Solve for x
    x = 828,087,260,049/421,848
  6. Step 6: Final answer
    x = 1,962,999.14

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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.