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Finding the Third Proportional to 165,168 and 253,078

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Solution

The third proportional to 165,168 and 253,078 is: 387,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,168 : 253,078 = 253,078 : x
  2. Step 2: Convert to fraction form
    165,168/253,078 = 253,078/x
  3. Step 3: Cross multiply
    165,168x = 253,078 × 253,078
  4. Step 4: Simplify right side
    165,168x = 64,048,474,084
  5. Step 5: Solve for x
    x = 64,048,474,084/165,168
  6. Step 6: Final answer
    x = 387,777.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.