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Finding the Third Proportional to 180,056 and 279,520

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Solution

The third proportional to 180,056 and 279,520 is: 433,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,056 : 279,520 = 279,520 : x
  2. Step 2: Convert to fraction form
    180,056/279,520 = 279,520/x
  3. Step 3: Cross multiply
    180,056x = 279,520 × 279,520
  4. Step 4: Simplify right side
    180,056x = 78,131,430,400
  5. Step 5: Solve for x
    x = 78,131,430,400/180,056
  6. Step 6: Final answer
    x = 433,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.