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Finding the Third Proportional to 291,834.50 and 639,029

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Solution

The third proportional to 291,834.50 and 639,029 is: 1,399,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,834.50 : 639,029 = 639,029 : x
  2. Step 2: Convert to fraction form
    291,834.50/639,029 = 639,029/x
  3. Step 3: Cross multiply
    291,834.50x = 639,029 × 639,029
  4. Step 4: Simplify right side
    291,834.50x = 408,358,062,841
  5. Step 5: Solve for x
    x = 408,358,062,841/291,834.50
  6. Step 6: Final answer
    x = 1,399,279.60

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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.