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Finding the Third Proportional to 210,678 and 455,436

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Solution

The third proportional to 210,678 and 455,436 is: 984,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,678 : 455,436 = 455,436 : x
  2. Step 2: Convert to fraction form
    210,678/455,436 = 455,436/x
  3. Step 3: Cross multiply
    210,678x = 455,436 × 455,436
  4. Step 4: Simplify right side
    210,678x = 207,421,950,096
  5. Step 5: Solve for x
    x = 207,421,950,096/210,678
  6. Step 6: Final answer
    x = 984,544.90

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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.