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Finding the Third Proportional to 456,400 and 605,704

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Solution

The third proportional to 456,400 and 605,704 is: 803,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,400 : 605,704 = 605,704 : x
  2. Step 2: Convert to fraction form
    456,400/605,704 = 605,704/x
  3. Step 3: Cross multiply
    456,400x = 605,704 × 605,704
  4. Step 4: Simplify right side
    456,400x = 366,877,335,616
  5. Step 5: Solve for x
    x = 366,877,335,616/456,400
  6. Step 6: Final answer
    x = 803,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.