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Finding the Third Proportional to 180,388 and 285,625

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Solution

The third proportional to 180,388 and 285,625 is: 452,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,388 : 285,625 = 285,625 : x
  2. Step 2: Convert to fraction form
    180,388/285,625 = 285,625/x
  3. Step 3: Cross multiply
    180,388x = 285,625 × 285,625
  4. Step 4: Simplify right side
    180,388x = 81,581,640,625
  5. Step 5: Solve for x
    x = 81,581,640,625/180,388
  6. Step 6: Final answer
    x = 452,256.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.