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Finding the Third Proportional to 233,190 and 482,964.75

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Solution

The third proportional to 233,190 and 482,964.75 is: 1,000,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,190 : 482,964.75 = 482,964.75 : x
  2. Step 2: Convert to fraction form
    233,190/482,964.75 = 482,964.75/x
  3. Step 3: Cross multiply
    233,190x = 482,964.75 × 482,964.75
  4. Step 4: Simplify right side
    233,190x = 233,254,949,742.56
  5. Step 5: Solve for x
    x = 233,254,949,742.56/233,190
  6. Step 6: Final answer
    x = 1,000,278.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.