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Finding the Third Proportional to 165,717.56 and 253,390.50

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Solution

The third proportional to 165,717.56 and 253,390.50 is: 387,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,717.56 : 253,390.50 = 253,390.50 : x
  2. Step 2: Convert to fraction form
    165,717.56/253,390.50 = 253,390.50/x
  3. Step 3: Cross multiply
    165,717.56x = 253,390.50 × 253,390.50
  4. Step 4: Simplify right side
    165,717.56x = 64,206,745,490.25
  5. Step 5: Solve for x
    x = 64,206,745,490.25/165,717.56
  6. Step 6: Final answer
    x = 387,446.84

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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.