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Finding the Third Proportional to 106,036 and 224,343

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Solution

The third proportional to 106,036 and 224,343 is: 474,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,036 : 224,343 = 224,343 : x
  2. Step 2: Convert to fraction form
    106,036/224,343 = 224,343/x
  3. Step 3: Cross multiply
    106,036x = 224,343 × 224,343
  4. Step 4: Simplify right side
    106,036x = 50,329,781,649
  5. Step 5: Solve for x
    x = 50,329,781,649/106,036
  6. Step 6: Final answer
    x = 474,648.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.