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Finding the Third Proportional to 639,850.50 and 963,830.81

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Solution

The third proportional to 639,850.50 and 963,830.81 is: 1,451,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,850.50 : 963,830.81 = 963,830.81 : x
  2. Step 2: Convert to fraction form
    639,850.50/963,830.81 = 963,830.81/x
  3. Step 3: Cross multiply
    639,850.50x = 963,830.81 × 963,830.81
  4. Step 4: Simplify right side
    639,850.50x = 928,969,835,124.41
  5. Step 5: Solve for x
    x = 928,969,835,124.41/639,850.50
  6. Step 6: Final answer
    x = 1,451,854.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.