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Finding the Third Proportional to 171,897.75 and 258,169.50

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Solution

The third proportional to 171,897.75 and 258,169.50 is: 387,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,897.75 : 258,169.50 = 258,169.50 : x
  2. Step 2: Convert to fraction form
    171,897.75/258,169.50 = 258,169.50/x
  3. Step 3: Cross multiply
    171,897.75x = 258,169.50 × 258,169.50
  4. Step 4: Simplify right side
    171,897.75x = 66,651,490,730.25
  5. Step 5: Solve for x
    x = 66,651,490,730.25/171,897.75
  6. Step 6: Final answer
    x = 387,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.