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Finding the Third Proportional to 211,224 and 439,927.50

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Solution

The third proportional to 211,224 and 439,927.50 is: 916,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,224 : 439,927.50 = 439,927.50 : x
  2. Step 2: Convert to fraction form
    211,224/439,927.50 = 439,927.50/x
  3. Step 3: Cross multiply
    211,224x = 439,927.50 × 439,927.50
  4. Step 4: Simplify right side
    211,224x = 193,536,205,256.25
  5. Step 5: Solve for x
    x = 193,536,205,256.25/211,224
  6. Step 6: Final answer
    x = 916,260.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.