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Finding the Third Proportional to 138,967 and 303,358

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Solution

The third proportional to 138,967 and 303,358 is: 662,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,967 : 303,358 = 303,358 : x
  2. Step 2: Convert to fraction form
    138,967/303,358 = 303,358/x
  3. Step 3: Cross multiply
    138,967x = 303,358 × 303,358
  4. Step 4: Simplify right side
    138,967x = 92,026,076,164
  5. Step 5: Solve for x
    x = 92,026,076,164/138,967
  6. Step 6: Final answer
    x = 662,215.32

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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.