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Finding the Third Proportional to 211,977 and 318,420

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Solution

The third proportional to 211,977 and 318,420 is: 478,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,977 : 318,420 = 318,420 : x
  2. Step 2: Convert to fraction form
    211,977/318,420 = 318,420/x
  3. Step 3: Cross multiply
    211,977x = 318,420 × 318,420
  4. Step 4: Simplify right side
    211,977x = 101,391,296,400
  5. Step 5: Solve for x
    x = 101,391,296,400/211,977
  6. Step 6: Final answer
    x = 478,312.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.