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Finding the Third Proportional to 175,388 and 378,804

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Solution

The third proportional to 175,388 and 378,804 is: 818,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,388 : 378,804 = 378,804 : x
  2. Step 2: Convert to fraction form
    175,388/378,804 = 378,804/x
  3. Step 3: Cross multiply
    175,388x = 378,804 × 378,804
  4. Step 4: Simplify right side
    175,388x = 143,492,470,416
  5. Step 5: Solve for x
    x = 143,492,470,416/175,388
  6. Step 6: Final answer
    x = 818,143.03

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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.