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Finding the Third Proportional to 1,077,691 and 1,690,571

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Solution

The third proportional to 1,077,691 and 1,690,571 is: 2,651,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,691 : 1,690,571 = 1,690,571 : x
  2. Step 2: Convert to fraction form
    1,077,691/1,690,571 = 1,690,571/x
  3. Step 3: Cross multiply
    1,077,691x = 1,690,571 × 1,690,571
  4. Step 4: Simplify right side
    1,077,691x = 2,858,030,306,041
  5. Step 5: Solve for x
    x = 2,858,030,306,041/1,077,691
  6. Step 6: Final answer
    x = 2,651,994.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.