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Finding the Third Proportional to 97,728 and 206,928

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Solution

The third proportional to 97,728 and 206,928 is: 438,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728 : 206,928 = 206,928 : x
  2. Step 2: Convert to fraction form
    97,728/206,928 = 206,928/x
  3. Step 3: Cross multiply
    97,728x = 206,928 × 206,928
  4. Step 4: Simplify right side
    97,728x = 42,819,197,184
  5. Step 5: Solve for x
    x = 42,819,197,184/97,728
  6. Step 6: Final answer
    x = 438,146.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.