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Finding the Third Proportional to 455,614 and 998,984

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Solution

The third proportional to 455,614 and 998,984 is: 2,190,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,614 : 998,984 = 998,984 : x
  2. Step 2: Convert to fraction form
    455,614/998,984 = 998,984/x
  3. Step 3: Cross multiply
    455,614x = 998,984 × 998,984
  4. Step 4: Simplify right side
    455,614x = 997,969,032,256
  5. Step 5: Solve for x
    x = 997,969,032,256/455,614
  6. Step 6: Final answer
    x = 2,190,382.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.