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Finding the Third Proportional to 389,412 and 839,088

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Solution

The third proportional to 389,412 and 839,088 is: 1,808,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,412 : 839,088 = 839,088 : x
  2. Step 2: Convert to fraction form
    389,412/839,088 = 839,088/x
  3. Step 3: Cross multiply
    389,412x = 839,088 × 839,088
  4. Step 4: Simplify right side
    389,412x = 704,068,671,744
  5. Step 5: Solve for x
    x = 704,068,671,744/389,412
  6. Step 6: Final answer
    x = 1,808,030.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.