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Finding the Third Proportional to 387,389 and 839,118

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Solution

The third proportional to 387,389 and 839,118 is: 1,817,601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,389 : 839,118 = 839,118 : x
  2. Step 2: Convert to fraction form
    387,389/839,118 = 839,118/x
  3. Step 3: Cross multiply
    387,389x = 839,118 × 839,118
  4. Step 4: Simplify right side
    387,389x = 704,119,017,924
  5. Step 5: Solve for x
    x = 704,119,017,924/387,389
  6. Step 6: Final answer
    x = 1,817,601.99

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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.