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Finding the Third Proportional to 197,410 and 313,971

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Solution

The third proportional to 197,410 and 313,971 is: 499,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,410 : 313,971 = 313,971 : x
  2. Step 2: Convert to fraction form
    197,410/313,971 = 313,971/x
  3. Step 3: Cross multiply
    197,410x = 313,971 × 313,971
  4. Step 4: Simplify right side
    197,410x = 98,577,788,841
  5. Step 5: Solve for x
    x = 98,577,788,841/197,410
  6. Step 6: Final answer
    x = 499,355.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.