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Finding the Third Proportional to 140,217 and 302,898

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Solution

The third proportional to 140,217 and 302,898 is: 654,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,217 : 302,898 = 302,898 : x
  2. Step 2: Convert to fraction form
    140,217/302,898 = 302,898/x
  3. Step 3: Cross multiply
    140,217x = 302,898 × 302,898
  4. Step 4: Simplify right side
    140,217x = 91,747,198,404
  5. Step 5: Solve for x
    x = 91,747,198,404/140,217
  6. Step 6: Final answer
    x = 654,322.93

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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.