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Finding the Third Proportional to 102,709.69 and 221,821.88

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Solution

The third proportional to 102,709.69 and 221,821.88 is: 479,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,709.69 : 221,821.88 = 221,821.88 : x
  2. Step 2: Convert to fraction form
    102,709.69/221,821.88 = 221,821.88/x
  3. Step 3: Cross multiply
    102,709.69x = 221,821.88 × 221,821.88
  4. Step 4: Simplify right side
    102,709.69x = 49,204,944,228.52
  5. Step 5: Solve for x
    x = 49,204,944,228.52/102,709.69
  6. Step 6: Final answer
    x = 479,068.19

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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.