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Finding the Third Proportional to 451,645 and 664,984

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Solution

The third proportional to 451,645 and 664,984 is: 979,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,645 : 664,984 = 664,984 : x
  2. Step 2: Convert to fraction form
    451,645/664,984 = 664,984/x
  3. Step 3: Cross multiply
    451,645x = 664,984 × 664,984
  4. Step 4: Simplify right side
    451,645x = 442,203,720,256
  5. Step 5: Solve for x
    x = 442,203,720,256/451,645
  6. Step 6: Final answer
    x = 979,095.79

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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.