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Finding the Third Proportional to 159,576 and 242,821

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Solution

The third proportional to 159,576 and 242,821 is: 369,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,576 : 242,821 = 242,821 : x
  2. Step 2: Convert to fraction form
    159,576/242,821 = 242,821/x
  3. Step 3: Cross multiply
    159,576x = 242,821 × 242,821
  4. Step 4: Simplify right side
    159,576x = 58,962,038,041
  5. Step 5: Solve for x
    x = 58,962,038,041/159,576
  6. Step 6: Final answer
    x = 369,491.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.