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Finding the Third Proportional to 328,284.56 and 492,427.69

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Solution

The third proportional to 328,284.56 and 492,427.69 is: 738,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,284.56 : 492,427.69 = 492,427.69 : x
  2. Step 2: Convert to fraction form
    328,284.56/492,427.69 = 492,427.69/x
  3. Step 3: Cross multiply
    328,284.56x = 492,427.69 × 492,427.69
  4. Step 4: Simplify right side
    328,284.56x = 242,485,027,416.60
  5. Step 5: Solve for x
    x = 242,485,027,416.60/328,284.56
  6. Step 6: Final answer
    x = 738,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.