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Finding the Third Proportional to 387,336 and 839,013

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Solution

The third proportional to 387,336 and 839,013 is: 1,817,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,336 : 839,013 = 839,013 : x
  2. Step 2: Convert to fraction form
    387,336/839,013 = 839,013/x
  3. Step 3: Cross multiply
    387,336x = 839,013 × 839,013
  4. Step 4: Simplify right side
    387,336x = 703,942,814,169
  5. Step 5: Solve for x
    x = 703,942,814,169/387,336
  6. Step 6: Final answer
    x = 1,817,395.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.