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Finding the Third Proportional to 445,694 and 670,660

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Solution

The third proportional to 445,694 and 670,660 is: 1,009,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,694 : 670,660 = 670,660 : x
  2. Step 2: Convert to fraction form
    445,694/670,660 = 670,660/x
  3. Step 3: Cross multiply
    445,694x = 670,660 × 670,660
  4. Step 4: Simplify right side
    445,694x = 449,784,835,600
  5. Step 5: Solve for x
    x = 449,784,835,600/445,694
  6. Step 6: Final answer
    x = 1,009,178.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.