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Finding the Third Proportional to 355,005.28 and 485,012.81

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Solution

The third proportional to 355,005.28 and 485,012.81 is: 662,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,005.28 : 485,012.81 = 485,012.81 : x
  2. Step 2: Convert to fraction form
    355,005.28/485,012.81 = 485,012.81/x
  3. Step 3: Cross multiply
    355,005.28x = 485,012.81 × 485,012.81
  4. Step 4: Simplify right side
    355,005.28x = 235,237,428,289.16
  5. Step 5: Solve for x
    x = 235,237,428,289.16/355,005.28
  6. Step 6: Final answer
    x = 662,630.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.