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Finding the Third Proportional to 354,406 and 771,020

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Solution

The third proportional to 354,406 and 771,020 is: 1,677,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,406 : 771,020 = 771,020 : x
  2. Step 2: Convert to fraction form
    354,406/771,020 = 771,020/x
  3. Step 3: Cross multiply
    354,406x = 771,020 × 771,020
  4. Step 4: Simplify right side
    354,406x = 594,471,840,400
  5. Step 5: Solve for x
    x = 594,471,840,400/354,406
  6. Step 6: Final answer
    x = 1,677,375.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.