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Finding the Third Proportional to 162,351 and 254,745

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Solution

The third proportional to 162,351 and 254,745 is: 399,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,351 : 254,745 = 254,745 : x
  2. Step 2: Convert to fraction form
    162,351/254,745 = 254,745/x
  3. Step 3: Cross multiply
    162,351x = 254,745 × 254,745
  4. Step 4: Simplify right side
    162,351x = 64,895,015,025
  5. Step 5: Solve for x
    x = 64,895,015,025/162,351
  6. Step 6: Final answer
    x = 399,720.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.