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Finding the Third Proportional to 1,740,116 and 2,450,502

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Solution

The third proportional to 1,740,116 and 2,450,502 is: 3,450,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,116 : 2,450,502 = 2,450,502 : x
  2. Step 2: Convert to fraction form
    1,740,116/2,450,502 = 2,450,502/x
  3. Step 3: Cross multiply
    1,740,116x = 2,450,502 × 2,450,502
  4. Step 4: Simplify right side
    1,740,116x = 6,004,960,052,004
  5. Step 5: Solve for x
    x = 6,004,960,052,004/1,740,116
  6. Step 6: Final answer
    x = 3,450,896.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.