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Finding the Third Proportional to 197,420 and 313,988

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Solution

The third proportional to 197,420 and 313,988 is: 499,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,420 : 313,988 = 313,988 : x
  2. Step 2: Convert to fraction form
    197,420/313,988 = 313,988/x
  3. Step 3: Cross multiply
    197,420x = 313,988 × 313,988
  4. Step 4: Simplify right side
    197,420x = 98,588,464,144
  5. Step 5: Solve for x
    x = 98,588,464,144/197,420
  6. Step 6: Final answer
    x = 499,384.38

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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.