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Finding the Third Proportional to 211,138 and 316,985

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Solution

The third proportional to 211,138 and 316,985 is: 475,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,138 : 316,985 = 316,985 : x
  2. Step 2: Convert to fraction form
    211,138/316,985 = 316,985/x
  3. Step 3: Cross multiply
    211,138x = 316,985 × 316,985
  4. Step 4: Simplify right side
    211,138x = 100,479,490,225
  5. Step 5: Solve for x
    x = 100,479,490,225/211,138
  6. Step 6: Final answer
    x = 475,894.87

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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.