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Finding the Third Proportional to 138,122 and 302,068

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Solution

The third proportional to 138,122 and 302,068 is: 660,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,122 : 302,068 = 302,068 : x
  2. Step 2: Convert to fraction form
    138,122/302,068 = 302,068/x
  3. Step 3: Cross multiply
    138,122x = 302,068 × 302,068
  4. Step 4: Simplify right side
    138,122x = 91,245,076,624
  5. Step 5: Solve for x
    x = 91,245,076,624/138,122
  6. Step 6: Final answer
    x = 660,612.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.