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Finding the Third Proportional to 356,577.75 and 485,655.75

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Solution

The third proportional to 356,577.75 and 485,655.75 is: 661,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,577.75 : 485,655.75 = 485,655.75 : x
  2. Step 2: Convert to fraction form
    356,577.75/485,655.75 = 485,655.75/x
  3. Step 3: Cross multiply
    356,577.75x = 485,655.75 × 485,655.75
  4. Step 4: Simplify right side
    356,577.75x = 235,861,507,508.06
  5. Step 5: Solve for x
    x = 235,861,507,508.06/356,577.75
  6. Step 6: Final answer
    x = 661,458.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.