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Finding the Third Proportional to 431,716 and 670,182

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Solution

The third proportional to 431,716 and 670,182 is: 1,040,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,716 : 670,182 = 670,182 : x
  2. Step 2: Convert to fraction form
    431,716/670,182 = 670,182/x
  3. Step 3: Cross multiply
    431,716x = 670,182 × 670,182
  4. Step 4: Simplify right side
    431,716x = 449,143,913,124
  5. Step 5: Solve for x
    x = 449,143,913,124/431,716
  6. Step 6: Final answer
    x = 1,040,368.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.