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Finding the Third Proportional to 102,018 and 212,313

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Solution

The third proportional to 102,018 and 212,313 is: 441,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018 : 212,313 = 212,313 : x
  2. Step 2: Convert to fraction form
    102,018/212,313 = 212,313/x
  3. Step 3: Cross multiply
    102,018x = 212,313 × 212,313
  4. Step 4: Simplify right side
    102,018x = 45,076,809,969
  5. Step 5: Solve for x
    x = 45,076,809,969/102,018
  6. Step 6: Final answer
    x = 441,851.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.