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Finding the Third Proportional to 139,898 and 302,132

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Solution

The third proportional to 139,898 and 302,132 is: 652,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,898 : 302,132 = 302,132 : x
  2. Step 2: Convert to fraction form
    139,898/302,132 = 302,132/x
  3. Step 3: Cross multiply
    139,898x = 302,132 × 302,132
  4. Step 4: Simplify right side
    139,898x = 91,283,745,424
  5. Step 5: Solve for x
    x = 91,283,745,424/139,898
  6. Step 6: Final answer
    x = 652,502.15

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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.