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Finding the Third Proportional to 180,396 and 256,416

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Solution

The third proportional to 180,396 and 256,416 is: 364,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,396 : 256,416 = 256,416 : x
  2. Step 2: Convert to fraction form
    180,396/256,416 = 256,416/x
  3. Step 3: Cross multiply
    180,396x = 256,416 × 256,416
  4. Step 4: Simplify right side
    180,396x = 65,749,165,056
  5. Step 5: Solve for x
    x = 65,749,165,056/180,396
  6. Step 6: Final answer
    x = 364,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.