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Finding the Third Proportional to 178,533 and 420,729

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Solution

The third proportional to 178,533 and 420,729 is: 991,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,533 : 420,729 = 420,729 : x
  2. Step 2: Convert to fraction form
    178,533/420,729 = 420,729/x
  3. Step 3: Cross multiply
    178,533x = 420,729 × 420,729
  4. Step 4: Simplify right side
    178,533x = 177,012,891,441
  5. Step 5: Solve for x
    x = 177,012,891,441/178,533
  6. Step 6: Final answer
    x = 991,485.56

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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.