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Finding the Third Proportional to 104,012 and 212,953

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Solution

The third proportional to 104,012 and 212,953 is: 435,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,012 : 212,953 = 212,953 : x
  2. Step 2: Convert to fraction form
    104,012/212,953 = 212,953/x
  3. Step 3: Cross multiply
    104,012x = 212,953 × 212,953
  4. Step 4: Simplify right side
    104,012x = 45,348,980,209
  5. Step 5: Solve for x
    x = 45,348,980,209/104,012
  6. Step 6: Final answer
    x = 435,997.58

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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.