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Finding the Third Proportional to 2,262,300 and 4,848,444

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Solution

The third proportional to 2,262,300 and 4,848,444 is: 10,390,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,300 : 4,848,444 = 4,848,444 : x
  2. Step 2: Convert to fraction form
    2,262,300/4,848,444 = 4,848,444/x
  3. Step 3: Cross multiply
    2,262,300x = 4,848,444 × 4,848,444
  4. Step 4: Simplify right side
    2,262,300x = 23,507,409,221,136
  5. Step 5: Solve for x
    x = 23,507,409,221,136/2,262,300
  6. Step 6: Final answer
    x = 10,390,933.66

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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.