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Finding the Third Proportional to 771,339 and 1,661,210

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Solution

The third proportional to 771,339 and 1,661,210 is: 3,577,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,339 : 1,661,210 = 1,661,210 : x
  2. Step 2: Convert to fraction form
    771,339/1,661,210 = 1,661,210/x
  3. Step 3: Cross multiply
    771,339x = 1,661,210 × 1,661,210
  4. Step 4: Simplify right side
    771,339x = 2,759,618,664,100
  5. Step 5: Solve for x
    x = 2,759,618,664,100/771,339
  6. Step 6: Final answer
    x = 3,577,698.86

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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.