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Finding the Third Proportional to 354,929.63 and 769,745.25

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Solution

The third proportional to 354,929.63 and 769,745.25 is: 1,669,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,929.63 : 769,745.25 = 769,745.25 : x
  2. Step 2: Convert to fraction form
    354,929.63/769,745.25 = 769,745.25/x
  3. Step 3: Cross multiply
    354,929.63x = 769,745.25 × 769,745.25
  4. Step 4: Simplify right side
    354,929.63x = 592,507,749,897.56
  5. Step 5: Solve for x
    x = 592,507,749,897.56/354,929.63
  6. Step 6: Final answer
    x = 1,669,366.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.