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Finding the Third Proportional to 273,425 and 428,058

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Solution

The third proportional to 273,425 and 428,058 is: 670,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,425 : 428,058 = 428,058 : x
  2. Step 2: Convert to fraction form
    273,425/428,058 = 428,058/x
  3. Step 3: Cross multiply
    273,425x = 428,058 × 428,058
  4. Step 4: Simplify right side
    273,425x = 183,233,651,364
  5. Step 5: Solve for x
    x = 183,233,651,364/273,425
  6. Step 6: Final answer
    x = 670,142.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.