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Finding the Third Proportional to 101,240 and 219,964

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Solution

The third proportional to 101,240 and 219,964 is: 477,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,240 : 219,964 = 219,964 : x
  2. Step 2: Convert to fraction form
    101,240/219,964 = 219,964/x
  3. Step 3: Cross multiply
    101,240x = 219,964 × 219,964
  4. Step 4: Simplify right side
    101,240x = 48,384,161,296
  5. Step 5: Solve for x
    x = 48,384,161,296/101,240
  6. Step 6: Final answer
    x = 477,915.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.