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Finding the Third Proportional to 450,100 and 670,288

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Solution

The third proportional to 450,100 and 670,288 is: 998,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,100 : 670,288 = 670,288 : x
  2. Step 2: Convert to fraction form
    450,100/670,288 = 670,288/x
  3. Step 3: Cross multiply
    450,100x = 670,288 × 670,288
  4. Step 4: Simplify right side
    450,100x = 449,286,002,944
  5. Step 5: Solve for x
    x = 449,286,002,944/450,100
  6. Step 6: Final answer
    x = 998,191.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.