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Finding the Third Proportional to 455,685 and 997,149

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Solution

The third proportional to 455,685 and 997,149 is: 2,182,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,685 : 997,149 = 997,149 : x
  2. Step 2: Convert to fraction form
    455,685/997,149 = 997,149/x
  3. Step 3: Cross multiply
    455,685x = 997,149 × 997,149
  4. Step 4: Simplify right side
    455,685x = 994,306,128,201
  5. Step 5: Solve for x
    x = 994,306,128,201/455,685
  6. Step 6: Final answer
    x = 2,182,003.20

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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.