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Finding the Third Proportional to 320,577.75 and 677,362.50

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Solution

The third proportional to 320,577.75 and 677,362.50 is: 1,431,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577.75 : 677,362.50 = 677,362.50 : x
  2. Step 2: Convert to fraction form
    320,577.75/677,362.50 = 677,362.50/x
  3. Step 3: Cross multiply
    320,577.75x = 677,362.50 × 677,362.50
  4. Step 4: Simplify right side
    320,577.75x = 458,819,956,406.25
  5. Step 5: Solve for x
    x = 458,819,956,406.25/320,577.75
  6. Step 6: Final answer
    x = 1,431,228.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.