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Finding the Third Proportional to 176,516 and 378,304

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Solution

The third proportional to 176,516 and 378,304 is: 810,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,516 : 378,304 = 378,304 : x
  2. Step 2: Convert to fraction form
    176,516/378,304 = 378,304/x
  3. Step 3: Cross multiply
    176,516x = 378,304 × 378,304
  4. Step 4: Simplify right side
    176,516x = 143,113,916,416
  5. Step 5: Solve for x
    x = 143,113,916,416/176,516
  6. Step 6: Final answer
    x = 810,770.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.