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Finding the Third Proportional to 382,740 and 826,720

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Solution

The third proportional to 382,740 and 826,720 is: 1,785,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,740 : 826,720 = 826,720 : x
  2. Step 2: Convert to fraction form
    382,740/826,720 = 826,720/x
  3. Step 3: Cross multiply
    382,740x = 826,720 × 826,720
  4. Step 4: Simplify right side
    382,740x = 683,465,958,400
  5. Step 5: Solve for x
    x = 683,465,958,400/382,740
  6. Step 6: Final answer
    x = 1,785,718.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.