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Finding the Third Proportional to 175,420.69 and 378,907.88

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Solution

The third proportional to 175,420.69 and 378,907.88 is: 818,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,420.69 : 378,907.88 = 378,907.88 : x
  2. Step 2: Convert to fraction form
    175,420.69/378,907.88 = 378,907.88/x
  3. Step 3: Cross multiply
    175,420.69x = 378,907.88 × 378,907.88
  4. Step 4: Simplify right side
    175,420.69x = 143,571,177,737.02
  5. Step 5: Solve for x
    x = 143,571,177,737.02/175,420.69
  6. Step 6: Final answer
    x = 818,439.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.