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Finding the Third Proportional to 291,732.75 and 393,275.25

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Solution

The third proportional to 291,732.75 and 393,275.25 is: 530,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,732.75 : 393,275.25 = 393,275.25 : x
  2. Step 2: Convert to fraction form
    291,732.75/393,275.25 = 393,275.25/x
  3. Step 3: Cross multiply
    291,732.75x = 393,275.25 × 393,275.25
  4. Step 4: Simplify right side
    291,732.75x = 154,665,422,262.56
  5. Step 5: Solve for x
    x = 154,665,422,262.56/291,732.75
  6. Step 6: Final answer
    x = 530,161.33

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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.