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Finding the Third Proportional to 670,816 and 911,504

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Solution

The third proportional to 670,816 and 911,504 is: 1,238,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,816 : 911,504 = 911,504 : x
  2. Step 2: Convert to fraction form
    670,816/911,504 = 911,504/x
  3. Step 3: Cross multiply
    670,816x = 911,504 × 911,504
  4. Step 4: Simplify right side
    670,816x = 830,839,542,016
  5. Step 5: Solve for x
    x = 830,839,542,016/670,816
  6. Step 6: Final answer
    x = 1,238,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.