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Finding the Third Proportional to 296,029.50 and 639,414

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Solution

The third proportional to 296,029.50 and 639,414 is: 1,381,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,029.50 : 639,414 = 639,414 : x
  2. Step 2: Convert to fraction form
    296,029.50/639,414 = 639,414/x
  3. Step 3: Cross multiply
    296,029.50x = 639,414 × 639,414
  4. Step 4: Simplify right side
    296,029.50x = 408,850,263,396
  5. Step 5: Solve for x
    x = 408,850,263,396/296,029.50
  6. Step 6: Final answer
    x = 1,381,113.25

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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.