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Finding the Third Proportional to 358,724 and 538,937

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Solution

The third proportional to 358,724 and 538,937 is: 809,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,724 : 538,937 = 538,937 : x
  2. Step 2: Convert to fraction form
    358,724/538,937 = 538,937/x
  3. Step 3: Cross multiply
    358,724x = 538,937 × 538,937
  4. Step 4: Simplify right side
    358,724x = 290,453,089,969
  5. Step 5: Solve for x
    x = 290,453,089,969/358,724
  6. Step 6: Final answer
    x = 809,684.02

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