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Finding the Third Proportional to 84,000 and 171,840

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Solution

The third proportional to 84,000 and 171,840 is: 351,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,000 : 171,840 = 171,840 : x
  2. Step 2: Convert to fraction form
    84,000/171,840 = 171,840/x
  3. Step 3: Cross multiply
    84,000x = 171,840 × 171,840
  4. Step 4: Simplify right side
    84,000x = 29,528,985,600
  5. Step 5: Solve for x
    x = 29,528,985,600/84,000
  6. Step 6: Final answer
    x = 351,535.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.