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Finding the Third Proportional to 455,705 and 997,189

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Solution

The third proportional to 455,705 and 997,189 is: 2,182,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,705 : 997,189 = 997,189 : x
  2. Step 2: Convert to fraction form
    455,705/997,189 = 997,189/x
  3. Step 3: Cross multiply
    455,705x = 997,189 × 997,189
  4. Step 4: Simplify right side
    455,705x = 994,385,901,721
  5. Step 5: Solve for x
    x = 994,385,901,721/455,705
  6. Step 6: Final answer
    x = 2,182,082.49

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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.