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Finding the Third Proportional to 605,697 and 1,311,711

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Solution

The third proportional to 605,697 and 1,311,711 is: 2,840,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,697 : 1,311,711 = 1,311,711 : x
  2. Step 2: Convert to fraction form
    605,697/1,311,711 = 1,311,711/x
  3. Step 3: Cross multiply
    605,697x = 1,311,711 × 1,311,711
  4. Step 4: Simplify right side
    605,697x = 1,720,585,747,521
  5. Step 5: Solve for x
    x = 1,720,585,747,521/605,697
  6. Step 6: Final answer
    x = 2,840,670.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.