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Finding the Third Proportional to 312,622 and 646,682

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Solution

The third proportional to 312,622 and 646,682 is: 1,337,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,622 : 646,682 = 646,682 : x
  2. Step 2: Convert to fraction form
    312,622/646,682 = 646,682/x
  3. Step 3: Cross multiply
    312,622x = 646,682 × 646,682
  4. Step 4: Simplify right side
    312,622x = 418,197,609,124
  5. Step 5: Solve for x
    x = 418,197,609,124/312,622
  6. Step 6: Final answer
    x = 1,337,710.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.