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Finding the Third Proportional to 389,854 and 854,160

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Solution

The third proportional to 389,854 and 854,160 is: 1,871,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,854 : 854,160 = 854,160 : x
  2. Step 2: Convert to fraction form
    389,854/854,160 = 854,160/x
  3. Step 3: Cross multiply
    389,854x = 854,160 × 854,160
  4. Step 4: Simplify right side
    389,854x = 729,589,305,600
  5. Step 5: Solve for x
    x = 729,589,305,600/389,854
  6. Step 6: Final answer
    x = 1,871,442.40

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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.