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Finding the Third Proportional to 171,802.50 and 258,027.75

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Solution

The third proportional to 171,802.50 and 258,027.75 is: 387,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.50 : 258,027.75 = 258,027.75 : x
  2. Step 2: Convert to fraction form
    171,802.50/258,027.75 = 258,027.75/x
  3. Step 3: Cross multiply
    171,802.50x = 258,027.75 × 258,027.75
  4. Step 4: Simplify right side
    171,802.50x = 66,578,319,770.06
  5. Step 5: Solve for x
    x = 66,578,319,770.06/171,802.50
  6. Step 6: Final answer
    x = 387,528.24

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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.