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Finding the Third Proportional to 328,121 and 701,740

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Solution

The third proportional to 328,121 and 701,740 is: 1,500,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,121 : 701,740 = 701,740 : x
  2. Step 2: Convert to fraction form
    328,121/701,740 = 701,740/x
  3. Step 3: Cross multiply
    328,121x = 701,740 × 701,740
  4. Step 4: Simplify right side
    328,121x = 492,439,027,600
  5. Step 5: Solve for x
    x = 492,439,027,600/328,121
  6. Step 6: Final answer
    x = 1,500,784.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.