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Finding the Third Proportional to 389,428 and 839,123

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Solution

The third proportional to 389,428 and 839,123 is: 1,808,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,428 : 839,123 = 839,123 : x
  2. Step 2: Convert to fraction form
    389,428/839,123 = 839,123/x
  3. Step 3: Cross multiply
    389,428x = 839,123 × 839,123
  4. Step 4: Simplify right side
    389,428x = 704,127,409,129
  5. Step 5: Solve for x
    x = 704,127,409,129/389,428
  6. Step 6: Final answer
    x = 1,808,106.79

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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.