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Finding the Third Proportional to 469,265,140.50 and 639,059,023.50

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Solution

The third proportional to 469,265,140.50 and 639,059,023.50 is: 870,289,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,265,140.50 : 639,059,023.50 = 639,059,023.50 : x
  2. Step 2: Convert to fraction form
    469,265,140.50/639,059,023.50 = 639,059,023.50/x
  3. Step 3: Cross multiply
    469,265,140.50x = 639,059,023.50 × 639,059,023.50
  4. Step 4: Simplify right side
    469,265,140.50x = 408,396,435,516,773,568
  5. Step 5: Solve for x
    x = 408,396,435,516,773,568/469,265,140.50
  6. Step 6: Final answer
    x = 870,289,310.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.