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Finding the Third Proportional to 405,711 and 630,675

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Solution

The third proportional to 405,711 and 630,675 is: 980,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,711 : 630,675 = 630,675 : x
  2. Step 2: Convert to fraction form
    405,711/630,675 = 630,675/x
  3. Step 3: Cross multiply
    405,711x = 630,675 × 630,675
  4. Step 4: Simplify right side
    405,711x = 397,750,955,625
  5. Step 5: Solve for x
    x = 397,750,955,625/405,711
  6. Step 6: Final answer
    x = 980,380.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.