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Finding the Third Proportional to 140,407 and 302,956

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Solution

The third proportional to 140,407 and 302,956 is: 653,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,407 : 302,956 = 302,956 : x
  2. Step 2: Convert to fraction form
    140,407/302,956 = 302,956/x
  3. Step 3: Cross multiply
    140,407x = 302,956 × 302,956
  4. Step 4: Simplify right side
    140,407x = 91,782,337,936
  5. Step 5: Solve for x
    x = 91,782,337,936/140,407
  6. Step 6: Final answer
    x = 653,687.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.