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Finding the Third Proportional to 264,200 and 409,258

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Solution

The third proportional to 264,200 and 409,258 is: 633,959.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,200 : 409,258 = 409,258 : x
  2. Step 2: Convert to fraction form
    264,200/409,258 = 409,258/x
  3. Step 3: Cross multiply
    264,200x = 409,258 × 409,258
  4. Step 4: Simplify right side
    264,200x = 167,492,110,564
  5. Step 5: Solve for x
    x = 167,492,110,564/264,200
  6. Step 6: Final answer
    x = 633,959.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.