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Finding the Third Proportional to 355,620 and 839,470

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Solution

The third proportional to 355,620 and 839,470 is: 1,981,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,620 : 839,470 = 839,470 : x
  2. Step 2: Convert to fraction form
    355,620/839,470 = 839,470/x
  3. Step 3: Cross multiply
    355,620x = 839,470 × 839,470
  4. Step 4: Simplify right side
    355,620x = 704,709,880,900
  5. Step 5: Solve for x
    x = 704,709,880,900/355,620
  6. Step 6: Final answer
    x = 1,981,637.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.