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Finding the Third Proportional to 102,328 and 209,728

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Solution

The third proportional to 102,328 and 209,728 is: 429,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,328 : 209,728 = 209,728 : x
  2. Step 2: Convert to fraction form
    102,328/209,728 = 209,728/x
  3. Step 3: Cross multiply
    102,328x = 209,728 × 209,728
  4. Step 4: Simplify right side
    102,328x = 43,985,833,984
  5. Step 5: Solve for x
    x = 43,985,833,984/102,328
  6. Step 6: Final answer
    x = 429,851.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.