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Finding the Third Proportional to 289,326 and 442,326

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Solution

The third proportional to 289,326 and 442,326 is: 676,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,326 : 442,326 = 442,326 : x
  2. Step 2: Convert to fraction form
    289,326/442,326 = 442,326/x
  3. Step 3: Cross multiply
    289,326x = 442,326 × 442,326
  4. Step 4: Simplify right side
    289,326x = 195,652,290,276
  5. Step 5: Solve for x
    x = 195,652,290,276/289,326
  6. Step 6: Final answer
    x = 676,234.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.