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Finding the Third Proportional to 106,558 and 233,852

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Solution

The third proportional to 106,558 and 233,852 is: 513,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558 : 233,852 = 233,852 : x
  2. Step 2: Convert to fraction form
    106,558/233,852 = 233,852/x
  3. Step 3: Cross multiply
    106,558x = 233,852 × 233,852
  4. Step 4: Simplify right side
    106,558x = 54,686,757,904
  5. Step 5: Solve for x
    x = 54,686,757,904/106,558
  6. Step 6: Final answer
    x = 513,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.