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Finding the Third Proportional to 378,715 and 569,054

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Solution

The third proportional to 378,715 and 569,054 is: 855,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,715 : 569,054 = 569,054 : x
  2. Step 2: Convert to fraction form
    378,715/569,054 = 569,054/x
  3. Step 3: Cross multiply
    378,715x = 569,054 × 569,054
  4. Step 4: Simplify right side
    378,715x = 323,822,454,916
  5. Step 5: Solve for x
    x = 323,822,454,916/378,715
  6. Step 6: Final answer
    x = 855,055.79

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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.