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Finding the Third Proportional to 210,998 and 455,287

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Solution

The third proportional to 210,998 and 455,287 is: 982,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,998 : 455,287 = 455,287 : x
  2. Step 2: Convert to fraction form
    210,998/455,287 = 455,287/x
  3. Step 3: Cross multiply
    210,998x = 455,287 × 455,287
  4. Step 4: Simplify right side
    210,998x = 207,286,252,369
  5. Step 5: Solve for x
    x = 207,286,252,369/210,998
  6. Step 6: Final answer
    x = 982,408.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.