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Finding the Third Proportional to 211,137 and 316,983.50

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Solution

The third proportional to 211,137 and 316,983.50 is: 475,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,137 : 316,983.50 = 316,983.50 : x
  2. Step 2: Convert to fraction form
    211,137/316,983.50 = 316,983.50/x
  3. Step 3: Cross multiply
    211,137x = 316,983.50 × 316,983.50
  4. Step 4: Simplify right side
    211,137x = 100,478,539,272.25
  5. Step 5: Solve for x
    x = 100,478,539,272.25/211,137
  6. Step 6: Final answer
    x = 475,892.62

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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.