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Finding the Third Proportional to 354,696 and 521,676

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Solution

The third proportional to 354,696 and 521,676 is: 767,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,696 : 521,676 = 521,676 : x
  2. Step 2: Convert to fraction form
    354,696/521,676 = 521,676/x
  3. Step 3: Cross multiply
    354,696x = 521,676 × 521,676
  4. Step 4: Simplify right side
    354,696x = 272,145,848,976
  5. Step 5: Solve for x
    x = 272,145,848,976/354,696
  6. Step 6: Final answer
    x = 767,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.