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Finding the Third Proportional to 420,864 and 567,036

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Solution

The third proportional to 420,864 and 567,036 is: 763,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,864 : 567,036 = 567,036 : x
  2. Step 2: Convert to fraction form
    420,864/567,036 = 567,036/x
  3. Step 3: Cross multiply
    420,864x = 567,036 × 567,036
  4. Step 4: Simplify right side
    420,864x = 321,529,825,296
  5. Step 5: Solve for x
    x = 321,529,825,296/420,864
  6. Step 6: Final answer
    x = 763,975.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.