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Finding the Third Proportional to 138,807 and 302,742

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Solution

The third proportional to 138,807 and 302,742 is: 660,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,807 : 302,742 = 302,742 : x
  2. Step 2: Convert to fraction form
    138,807/302,742 = 302,742/x
  3. Step 3: Cross multiply
    138,807x = 302,742 × 302,742
  4. Step 4: Simplify right side
    138,807x = 91,652,718,564
  5. Step 5: Solve for x
    x = 91,652,718,564/138,807
  6. Step 6: Final answer
    x = 660,288.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.