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Finding the Third Proportional to 245,857 and 379,704

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Solution

The third proportional to 245,857 and 379,704 is: 586,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,857 : 379,704 = 379,704 : x
  2. Step 2: Convert to fraction form
    245,857/379,704 = 379,704/x
  3. Step 3: Cross multiply
    245,857x = 379,704 × 379,704
  4. Step 4: Simplify right side
    245,857x = 144,175,127,616
  5. Step 5: Solve for x
    x = 144,175,127,616/245,857
  6. Step 6: Final answer
    x = 586,418.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.