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Finding the Third Proportional to 379,500.19 and 815,280.19

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Solution

The third proportional to 379,500.19 and 815,280.19 is: 1,751,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,500.19 : 815,280.19 = 815,280.19 : x
  2. Step 2: Convert to fraction form
    379,500.19/815,280.19 = 815,280.19/x
  3. Step 3: Cross multiply
    379,500.19x = 815,280.19 × 815,280.19
  4. Step 4: Simplify right side
    379,500.19x = 664,681,784,130.04
  5. Step 5: Solve for x
    x = 664,681,784,130.04/379,500.19
  6. Step 6: Final answer
    x = 1,751,466.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.