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Finding the Third Proportional to 289,430 and 452,676

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Solution

The third proportional to 289,430 and 452,676 is: 707,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,430 : 452,676 = 452,676 : x
  2. Step 2: Convert to fraction form
    289,430/452,676 = 452,676/x
  3. Step 3: Cross multiply
    289,430x = 452,676 × 452,676
  4. Step 4: Simplify right side
    289,430x = 204,915,560,976
  5. Step 5: Solve for x
    x = 204,915,560,976/289,430
  6. Step 6: Final answer
    x = 707,996.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.