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Finding the Third Proportional to 128,599 and 200,258

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Solution

The third proportional to 128,599 and 200,258 is: 311,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,599 : 200,258 = 200,258 : x
  2. Step 2: Convert to fraction form
    128,599/200,258 = 200,258/x
  3. Step 3: Cross multiply
    128,599x = 200,258 × 200,258
  4. Step 4: Simplify right side
    128,599x = 40,103,266,564
  5. Step 5: Solve for x
    x = 40,103,266,564/128,599
  6. Step 6: Final answer
    x = 311,847.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.