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Finding the Third Proportional to 211,207.50 and 439,890.75

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Solution

The third proportional to 211,207.50 and 439,890.75 is: 916,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,207.50 : 439,890.75 = 439,890.75 : x
  2. Step 2: Convert to fraction form
    211,207.50/439,890.75 = 439,890.75/x
  3. Step 3: Cross multiply
    211,207.50x = 439,890.75 × 439,890.75
  4. Step 4: Simplify right side
    211,207.50x = 193,503,871,935.56
  5. Step 5: Solve for x
    x = 193,503,871,935.56/211,207.50
  6. Step 6: Final answer
    x = 916,178.98

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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.