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Finding the Third Proportional to 302,012 and 422,455

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Solution

The third proportional to 302,012 and 422,455 is: 590,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,012 : 422,455 = 422,455 : x
  2. Step 2: Convert to fraction form
    302,012/422,455 = 422,455/x
  3. Step 3: Cross multiply
    302,012x = 422,455 × 422,455
  4. Step 4: Simplify right side
    302,012x = 178,468,227,025
  5. Step 5: Solve for x
    x = 178,468,227,025/302,012
  6. Step 6: Final answer
    x = 590,930.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.