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Finding the Third Proportional to 354,298 and 538,009

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Solution

The third proportional to 354,298 and 538,009 is: 816,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,298 : 538,009 = 538,009 : x
  2. Step 2: Convert to fraction form
    354,298/538,009 = 538,009/x
  3. Step 3: Cross multiply
    354,298x = 538,009 × 538,009
  4. Step 4: Simplify right side
    354,298x = 289,453,684,081
  5. Step 5: Solve for x
    x = 289,453,684,081/354,298
  6. Step 6: Final answer
    x = 816,978.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.