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Finding the Third Proportional to 211,970 and 318,410

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Solution

The third proportional to 211,970 and 318,410 is: 478,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970 : 318,410 = 318,410 : x
  2. Step 2: Convert to fraction form
    211,970/318,410 = 318,410/x
  3. Step 3: Cross multiply
    211,970x = 318,410 × 318,410
  4. Step 4: Simplify right side
    211,970x = 101,384,928,100
  5. Step 5: Solve for x
    x = 101,384,928,100/211,970
  6. Step 6: Final answer
    x = 478,298.48

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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.