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Finding the Third Proportional to 300,888 and 423,351

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Solution

The third proportional to 300,888 and 423,351 is: 595,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,888 : 423,351 = 423,351 : x
  2. Step 2: Convert to fraction form
    300,888/423,351 = 423,351/x
  3. Step 3: Cross multiply
    300,888x = 423,351 × 423,351
  4. Step 4: Simplify right side
    300,888x = 179,226,069,201
  5. Step 5: Solve for x
    x = 179,226,069,201/300,888
  6. Step 6: Final answer
    x = 595,657.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.