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Finding the Third Proportional to 378,389.25 and 569,173.50

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Solution

The third proportional to 378,389.25 and 569,173.50 is: 856,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,389.25 : 569,173.50 = 569,173.50 : x
  2. Step 2: Convert to fraction form
    378,389.25/569,173.50 = 569,173.50/x
  3. Step 3: Cross multiply
    378,389.25x = 569,173.50 × 569,173.50
  4. Step 4: Simplify right side
    378,389.25x = 323,958,473,102.25
  5. Step 5: Solve for x
    x = 323,958,473,102.25/378,389.25
  6. Step 6: Final answer
    x = 856,151.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.