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Finding the Third Proportional to 294,620 and 641,740

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Solution

The third proportional to 294,620 and 641,740 is: 1,397,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,620 : 641,740 = 641,740 : x
  2. Step 2: Convert to fraction form
    294,620/641,740 = 641,740/x
  3. Step 3: Cross multiply
    294,620x = 641,740 × 641,740
  4. Step 4: Simplify right side
    294,620x = 411,830,227,600
  5. Step 5: Solve for x
    x = 411,830,227,600/294,620
  6. Step 6: Final answer
    x = 1,397,835.27

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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.