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Finding the Third Proportional to 387,396 and 839,132

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Solution

The third proportional to 387,396 and 839,132 is: 1,817,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,396 : 839,132 = 839,132 : x
  2. Step 2: Convert to fraction form
    387,396/839,132 = 839,132/x
  3. Step 3: Cross multiply
    387,396x = 839,132 × 839,132
  4. Step 4: Simplify right side
    387,396x = 704,142,513,424
  5. Step 5: Solve for x
    x = 704,142,513,424/387,396
  6. Step 6: Final answer
    x = 1,817,629.80

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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.