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Finding the Third Proportional to 423,786.38 and 639,620.63

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Solution

The third proportional to 423,786.38 and 639,620.63 is: 965,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,786.38 : 639,620.63 = 639,620.63 : x
  2. Step 2: Convert to fraction form
    423,786.38/639,620.63 = 639,620.63/x
  3. Step 3: Cross multiply
    423,786.38x = 639,620.63 × 639,620.63
  4. Step 4: Simplify right side
    423,786.38x = 409,114,543,925.39
  5. Step 5: Solve for x
    x = 409,114,543,925.39/423,786.38
  6. Step 6: Final answer
    x = 965,379.18

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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.