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Finding the Third Proportional to 389,940 and 854,352

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Solution

The third proportional to 389,940 and 854,352 is: 1,871,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,940 : 854,352 = 854,352 : x
  2. Step 2: Convert to fraction form
    389,940/854,352 = 854,352/x
  3. Step 3: Cross multiply
    389,940x = 854,352 × 854,352
  4. Step 4: Simplify right side
    389,940x = 729,917,339,904
  5. Step 5: Solve for x
    x = 729,917,339,904/389,940
  6. Step 6: Final answer
    x = 1,871,870.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.