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Finding the Third Proportional to 180,776 and 389,500

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Solution

The third proportional to 180,776 and 389,500 is: 839,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776 : 389,500 = 389,500 : x
  2. Step 2: Convert to fraction form
    180,776/389,500 = 389,500/x
  3. Step 3: Cross multiply
    180,776x = 389,500 × 389,500
  4. Step 4: Simplify right side
    180,776x = 151,710,250,000
  5. Step 5: Solve for x
    x = 151,710,250,000/180,776
  6. Step 6: Final answer
    x = 839,216.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.