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Finding the Third Proportional to 170,737.88 and 258,658.31

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Solution

The third proportional to 170,737.88 and 258,658.31 is: 391,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,737.88 : 258,658.31 = 258,658.31 : x
  2. Step 2: Convert to fraction form
    170,737.88/258,658.31 = 258,658.31/x
  3. Step 3: Cross multiply
    170,737.88x = 258,658.31 × 258,658.31
  4. Step 4: Simplify right side
    170,737.88x = 66,904,122,625.35
  5. Step 5: Solve for x
    x = 66,904,122,625.35/170,737.88
  6. Step 6: Final answer
    x = 391,852.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.