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Finding the Third Proportional to 178,057 and 420,320.50

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Solution

The third proportional to 178,057 and 420,320.50 is: 992,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,057 : 420,320.50 = 420,320.50 : x
  2. Step 2: Convert to fraction form
    178,057/420,320.50 = 420,320.50/x
  3. Step 3: Cross multiply
    178,057x = 420,320.50 × 420,320.50
  4. Step 4: Simplify right side
    178,057x = 176,669,322,720.25
  5. Step 5: Solve for x
    x = 176,669,322,720.25/178,057
  6. Step 6: Final answer
    x = 992,206.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.