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Finding the Third Proportional to 485,361 and 734,828

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Solution

The third proportional to 485,361 and 734,828 is: 1,112,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,361 : 734,828 = 734,828 : x
  2. Step 2: Convert to fraction form
    485,361/734,828 = 734,828/x
  3. Step 3: Cross multiply
    485,361x = 734,828 × 734,828
  4. Step 4: Simplify right side
    485,361x = 539,972,189,584
  5. Step 5: Solve for x
    x = 539,972,189,584/485,361
  6. Step 6: Final answer
    x = 1,112,516.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.