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Finding the Third Proportional to 455,639 and 997,057

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Solution

The third proportional to 455,639 and 997,057 is: 2,181,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,639 : 997,057 = 997,057 : x
  2. Step 2: Convert to fraction form
    455,639/997,057 = 997,057/x
  3. Step 3: Cross multiply
    455,639x = 997,057 × 997,057
  4. Step 4: Simplify right side
    455,639x = 994,122,661,249
  5. Step 5: Solve for x
    x = 994,122,661,249/455,639
  6. Step 6: Final answer
    x = 2,181,820.83

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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.