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Finding the Third Proportional to 216,977 and 470,041

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Solution

The third proportional to 216,977 and 470,041 is: 1,018,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977 : 470,041 = 470,041 : x
  2. Step 2: Convert to fraction form
    216,977/470,041 = 470,041/x
  3. Step 3: Cross multiply
    216,977x = 470,041 × 470,041
  4. Step 4: Simplify right side
    216,977x = 220,938,541,681
  5. Step 5: Solve for x
    x = 220,938,541,681/216,977
  6. Step 6: Final answer
    x = 1,018,257.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.