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Finding the Third Proportional to 379,428.75 and 812,652

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Solution

The third proportional to 379,428.75 and 812,652 is: 1,740,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,428.75 : 812,652 = 812,652 : x
  2. Step 2: Convert to fraction form
    379,428.75/812,652 = 812,652/x
  3. Step 3: Cross multiply
    379,428.75x = 812,652 × 812,652
  4. Step 4: Simplify right side
    379,428.75x = 660,403,273,104
  5. Step 5: Solve for x
    x = 660,403,273,104/379,428.75
  6. Step 6: Final answer
    x = 1,740,519.86

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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.