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Finding the Third Proportional to 170,512 and 254,715

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Solution

The third proportional to 170,512 and 254,715 is: 380,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,512 : 254,715 = 254,715 : x
  2. Step 2: Convert to fraction form
    170,512/254,715 = 254,715/x
  3. Step 3: Cross multiply
    170,512x = 254,715 × 254,715
  4. Step 4: Simplify right side
    170,512x = 64,879,731,225
  5. Step 5: Solve for x
    x = 64,879,731,225/170,512
  6. Step 6: Final answer
    x = 380,499.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.