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Finding the Third Proportional to 408,059 and 612,090

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Solution

The third proportional to 408,059 and 612,090 is: 918,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,059 : 612,090 = 612,090 : x
  2. Step 2: Convert to fraction form
    408,059/612,090 = 612,090/x
  3. Step 3: Cross multiply
    408,059x = 612,090 × 612,090
  4. Step 4: Simplify right side
    408,059x = 374,654,168,100
  5. Step 5: Solve for x
    x = 374,654,168,100/408,059
  6. Step 6: Final answer
    x = 918,137.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.