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Finding the Third Proportional to 378,470 and 447,590

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Solution

The third proportional to 378,470 and 447,590 is: 529,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470 : 447,590 = 447,590 : x
  2. Step 2: Convert to fraction form
    378,470/447,590 = 447,590/x
  3. Step 3: Cross multiply
    378,470x = 447,590 × 447,590
  4. Step 4: Simplify right side
    378,470x = 200,336,808,100
  5. Step 5: Solve for x
    x = 200,336,808,100/378,470
  6. Step 6: Final answer
    x = 529,333.39

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.