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Finding the Third Proportional to 211,320 and 316,977

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Solution

The third proportional to 211,320 and 316,977 is: 475,461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,320 : 316,977 = 316,977 : x
  2. Step 2: Convert to fraction form
    211,320/316,977 = 316,977/x
  3. Step 3: Cross multiply
    211,320x = 316,977 × 316,977
  4. Step 4: Simplify right side
    211,320x = 100,474,418,529
  5. Step 5: Solve for x
    x = 100,474,418,529/211,320
  6. Step 6: Final answer
    x = 475,461.00

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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.