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Finding the Third Proportional to 291,735 and 393,278

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Solution

The third proportional to 291,735 and 393,278 is: 530,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,735 : 393,278 = 393,278 : x
  2. Step 2: Convert to fraction form
    291,735/393,278 = 393,278/x
  3. Step 3: Cross multiply
    291,735x = 393,278 × 393,278
  4. Step 4: Simplify right side
    291,735x = 154,667,585,284
  5. Step 5: Solve for x
    x = 154,667,585,284/291,735
  6. Step 6: Final answer
    x = 530,164.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.