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Finding the Third Proportional to 378,417 and 569,219

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Solution

The third proportional to 378,417 and 569,219 is: 856,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,417 : 569,219 = 569,219 : x
  2. Step 2: Convert to fraction form
    378,417/569,219 = 569,219/x
  3. Step 3: Cross multiply
    378,417x = 569,219 × 569,219
  4. Step 4: Simplify right side
    378,417x = 324,010,269,961
  5. Step 5: Solve for x
    x = 324,010,269,961/378,417
  6. Step 6: Final answer
    x = 856,225.46

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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.