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Finding the Third Proportional to 370,860 and 811,704

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Solution

The third proportional to 370,860 and 811,704 is: 1,776,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,860 : 811,704 = 811,704 : x
  2. Step 2: Convert to fraction form
    370,860/811,704 = 811,704/x
  3. Step 3: Cross multiply
    370,860x = 811,704 × 811,704
  4. Step 4: Simplify right side
    370,860x = 658,863,383,616
  5. Step 5: Solve for x
    x = 658,863,383,616/370,860
  6. Step 6: Final answer
    x = 1,776,582.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.