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Finding the Third Proportional to 408,047 and 612,071

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Solution

The third proportional to 408,047 and 612,071 is: 918,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047 : 612,071 = 612,071 : x
  2. Step 2: Convert to fraction form
    408,047/612,071 = 612,071/x
  3. Step 3: Cross multiply
    408,047x = 612,071 × 612,071
  4. Step 4: Simplify right side
    408,047x = 374,630,909,041
  5. Step 5: Solve for x
    x = 374,630,909,041/408,047
  6. Step 6: Final answer
    x = 918,107.25

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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.