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Finding the Third Proportional to 258,763.50 and 356,323.50

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Solution

The third proportional to 258,763.50 and 356,323.50 is: 490,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,763.50 : 356,323.50 = 356,323.50 : x
  2. Step 2: Convert to fraction form
    258,763.50/356,323.50 = 356,323.50/x
  3. Step 3: Cross multiply
    258,763.50x = 356,323.50 × 356,323.50
  4. Step 4: Simplify right side
    258,763.50x = 126,966,436,652.25
  5. Step 5: Solve for x
    x = 126,966,436,652.25/258,763.50
  6. Step 6: Final answer
    x = 490,665.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.