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Finding the Third Proportional to 180,933.75 and 392,485.50

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Solution

The third proportional to 180,933.75 and 392,485.50 is: 851,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,933.75 : 392,485.50 = 392,485.50 : x
  2. Step 2: Convert to fraction form
    180,933.75/392,485.50 = 392,485.50/x
  3. Step 3: Cross multiply
    180,933.75x = 392,485.50 × 392,485.50
  4. Step 4: Simplify right side
    180,933.75x = 154,044,867,710.25
  5. Step 5: Solve for x
    x = 154,044,867,710.25/180,933.75
  6. Step 6: Final answer
    x = 851,388.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.