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Finding the Third Proportional to 211,885.50 and 457,380

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Solution

The third proportional to 211,885.50 and 457,380 is: 987,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,885.50 : 457,380 = 457,380 : x
  2. Step 2: Convert to fraction form
    211,885.50/457,380 = 457,380/x
  3. Step 3: Cross multiply
    211,885.50x = 457,380 × 457,380
  4. Step 4: Simplify right side
    211,885.50x = 209,196,464,400
  5. Step 5: Solve for x
    x = 209,196,464,400/211,885.50
  6. Step 6: Final answer
    x = 987,309.02

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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.