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Finding the Third Proportional to 103,531 and 221,827

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Solution

The third proportional to 103,531 and 221,827 is: 475,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,531 : 221,827 = 221,827 : x
  2. Step 2: Convert to fraction form
    103,531/221,827 = 221,827/x
  3. Step 3: Cross multiply
    103,531x = 221,827 × 221,827
  4. Step 4: Simplify right side
    103,531x = 49,207,217,929
  5. Step 5: Solve for x
    x = 49,207,217,929/103,531
  6. Step 6: Final answer
    x = 475,289.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.