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Finding the Third Proportional to 289,219.50 and 432,546.75

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Solution

The third proportional to 289,219.50 and 432,546.75 is: 646,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,219.50 : 432,546.75 = 432,546.75 : x
  2. Step 2: Convert to fraction form
    289,219.50/432,546.75 = 432,546.75/x
  3. Step 3: Cross multiply
    289,219.50x = 432,546.75 × 432,546.75
  4. Step 4: Simplify right side
    289,219.50x = 187,096,690,935.56
  5. Step 5: Solve for x
    x = 187,096,690,935.56/289,219.50
  6. Step 6: Final answer
    x = 646,902.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.