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Finding the Third Proportional to 180,000 and 371,520

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Solution

The third proportional to 180,000 and 371,520 is: 766,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,000 : 371,520 = 371,520 : x
  2. Step 2: Convert to fraction form
    180,000/371,520 = 371,520/x
  3. Step 3: Cross multiply
    180,000x = 371,520 × 371,520
  4. Step 4: Simplify right side
    180,000x = 138,027,110,400
  5. Step 5: Solve for x
    x = 138,027,110,400/180,000
  6. Step 6: Final answer
    x = 766,817.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.