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Finding the Third Proportional to 142,301 and 302,125

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Solution

The third proportional to 142,301 and 302,125 is: 641,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,301 : 302,125 = 302,125 : x
  2. Step 2: Convert to fraction form
    142,301/302,125 = 302,125/x
  3. Step 3: Cross multiply
    142,301x = 302,125 × 302,125
  4. Step 4: Simplify right side
    142,301x = 91,279,515,625
  5. Step 5: Solve for x
    x = 91,279,515,625/142,301
  6. Step 6: Final answer
    x = 641,453.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.