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Finding the Third Proportional to 211,168 and 455,343.50

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Solution

The third proportional to 211,168 and 455,343.50 is: 981,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,168 : 455,343.50 = 455,343.50 : x
  2. Step 2: Convert to fraction form
    211,168/455,343.50 = 455,343.50/x
  3. Step 3: Cross multiply
    211,168x = 455,343.50 × 455,343.50
  4. Step 4: Simplify right side
    211,168x = 207,337,702,992.25
  5. Step 5: Solve for x
    x = 207,337,702,992.25/211,168
  6. Step 6: Final answer
    x = 981,861.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.