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Finding the Third Proportional to 771,319 and 1,661,171

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Solution

The third proportional to 771,319 and 1,661,171 is: 3,577,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,319 : 1,661,171 = 1,661,171 : x
  2. Step 2: Convert to fraction form
    771,319/1,661,171 = 1,661,171/x
  3. Step 3: Cross multiply
    771,319x = 1,661,171 × 1,661,171
  4. Step 4: Simplify right side
    771,319x = 2,759,489,091,241
  5. Step 5: Solve for x
    x = 2,759,489,091,241/771,319
  6. Step 6: Final answer
    x = 3,577,623.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.