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Finding the Third Proportional to 174,639 and 381,971

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Solution

The third proportional to 174,639 and 381,971 is: 835,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,639 : 381,971 = 381,971 : x
  2. Step 2: Convert to fraction form
    174,639/381,971 = 381,971/x
  3. Step 3: Cross multiply
    174,639x = 381,971 × 381,971
  4. Step 4: Simplify right side
    174,639x = 145,901,844,841
  5. Step 5: Solve for x
    x = 145,901,844,841/174,639
  6. Step 6: Final answer
    x = 835,448.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.