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Finding the Third Proportional to 445,628 and 670,578

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Solution

The third proportional to 445,628 and 670,578 is: 1,009,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,628 : 670,578 = 670,578 : x
  2. Step 2: Convert to fraction form
    445,628/670,578 = 670,578/x
  3. Step 3: Cross multiply
    445,628x = 670,578 × 670,578
  4. Step 4: Simplify right side
    445,628x = 449,674,854,084
  5. Step 5: Solve for x
    x = 449,674,854,084/445,628
  6. Step 6: Final answer
    x = 1,009,081.24

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