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Finding the Third Proportional to 197,989 and 318,774

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Solution

The third proportional to 197,989 and 318,774 is: 513,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,989 : 318,774 = 318,774 : x
  2. Step 2: Convert to fraction form
    197,989/318,774 = 318,774/x
  3. Step 3: Cross multiply
    197,989x = 318,774 × 318,774
  4. Step 4: Simplify right side
    197,989x = 101,616,863,076
  5. Step 5: Solve for x
    x = 101,616,863,076/197,989
  6. Step 6: Final answer
    x = 513,244.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.