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Finding the Third Proportional to 138,315 and 303,414

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Solution

The third proportional to 138,315 and 303,414 is: 665,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,315 : 303,414 = 303,414 : x
  2. Step 2: Convert to fraction form
    138,315/303,414 = 303,414/x
  3. Step 3: Cross multiply
    138,315x = 303,414 × 303,414
  4. Step 4: Simplify right side
    138,315x = 92,060,055,396
  5. Step 5: Solve for x
    x = 92,060,055,396/138,315
  6. Step 6: Final answer
    x = 665,582.59

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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.