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Finding the Third Proportional to 258,703.50 and 347,649

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Solution

The third proportional to 258,703.50 and 347,649 is: 467,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,703.50 : 347,649 = 347,649 : x
  2. Step 2: Convert to fraction form
    258,703.50/347,649 = 347,649/x
  3. Step 3: Cross multiply
    258,703.50x = 347,649 × 347,649
  4. Step 4: Simplify right side
    258,703.50x = 120,859,827,201
  5. Step 5: Solve for x
    x = 120,859,827,201/258,703.50
  6. Step 6: Final answer
    x = 467,175.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.