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Finding the Third Proportional to 211,136 and 316,982

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Solution

The third proportional to 211,136 and 316,982 is: 475,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,136 : 316,982 = 316,982 : x
  2. Step 2: Convert to fraction form
    211,136/316,982 = 316,982/x
  3. Step 3: Cross multiply
    211,136x = 316,982 × 316,982
  4. Step 4: Simplify right side
    211,136x = 100,477,588,324
  5. Step 5: Solve for x
    x = 100,477,588,324/211,136
  6. Step 6: Final answer
    x = 475,890.37

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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.