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Finding the Third Proportional to 387,385 and 839,110

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Solution

The third proportional to 387,385 and 839,110 is: 1,817,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,385 : 839,110 = 839,110 : x
  2. Step 2: Convert to fraction form
    387,385/839,110 = 839,110/x
  3. Step 3: Cross multiply
    387,385x = 839,110 × 839,110
  4. Step 4: Simplify right side
    387,385x = 704,105,592,100
  5. Step 5: Solve for x
    x = 704,105,592,100/387,385
  6. Step 6: Final answer
    x = 1,817,586.10

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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.