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Finding the Third Proportional to 455,205 and 997,485

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Solution

The third proportional to 455,205 and 997,485 is: 2,185,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,205 : 997,485 = 997,485 : x
  2. Step 2: Convert to fraction form
    455,205/997,485 = 997,485/x
  3. Step 3: Cross multiply
    455,205x = 997,485 × 997,485
  4. Step 4: Simplify right side
    455,205x = 994,976,325,225
  5. Step 5: Solve for x
    x = 994,976,325,225/455,205
  6. Step 6: Final answer
    x = 2,185,776.35

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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.