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Finding the Third Proportional to 455,721 and 997,251

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Solution

The third proportional to 455,721 and 997,251 is: 2,182,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,721 : 997,251 = 997,251 : x
  2. Step 2: Convert to fraction form
    455,721/997,251 = 997,251/x
  3. Step 3: Cross multiply
    455,721x = 997,251 × 997,251
  4. Step 4: Simplify right side
    455,721x = 994,509,557,001
  5. Step 5: Solve for x
    x = 994,509,557,001/455,721
  6. Step 6: Final answer
    x = 2,182,277.22

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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.