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Finding the Third Proportional to 253,442 and 589,318

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Solution

The third proportional to 253,442 and 589,318 is: 1,370,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,442 : 589,318 = 589,318 : x
  2. Step 2: Convert to fraction form
    253,442/589,318 = 589,318/x
  3. Step 3: Cross multiply
    253,442x = 589,318 × 589,318
  4. Step 4: Simplify right side
    253,442x = 347,295,705,124
  5. Step 5: Solve for x
    x = 347,295,705,124/253,442
  6. Step 6: Final answer
    x = 1,370,316.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.