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Finding the Third Proportional to 211,549.50 and 330,196.50

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Solution

The third proportional to 211,549.50 and 330,196.50 is: 515,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,549.50 : 330,196.50 = 330,196.50 : x
  2. Step 2: Convert to fraction form
    211,549.50/330,196.50 = 330,196.50/x
  3. Step 3: Cross multiply
    211,549.50x = 330,196.50 × 330,196.50
  4. Step 4: Simplify right side
    211,549.50x = 109,029,728,612.25
  5. Step 5: Solve for x
    x = 109,029,728,612.25/211,549.50
  6. Step 6: Final answer
    x = 515,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.