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Finding the Third Proportional to 356,617.69 and 485,719.03

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Solution

The third proportional to 356,617.69 and 485,719.03 is: 661,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,617.69 : 485,719.03 = 485,719.03 : x
  2. Step 2: Convert to fraction form
    356,617.69/485,719.03 = 485,719.03/x
  3. Step 3: Cross multiply
    356,617.69x = 485,719.03 × 485,719.03
  4. Step 4: Simplify right side
    356,617.69x = 235,922,977,318.44
  5. Step 5: Solve for x
    x = 235,922,977,318.44/356,617.69
  6. Step 6: Final answer
    x = 661,557.14

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Why These Related Problems?

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