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Finding the Third Proportional to 451,648 and 664,996

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Solution

The third proportional to 451,648 and 664,996 is: 979,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,648 : 664,996 = 664,996 : x
  2. Step 2: Convert to fraction form
    451,648/664,996 = 664,996/x
  3. Step 3: Cross multiply
    451,648x = 664,996 × 664,996
  4. Step 4: Simplify right side
    451,648x = 442,219,680,016
  5. Step 5: Solve for x
    x = 442,219,680,016/451,648
  6. Step 6: Final answer
    x = 979,124.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.