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Finding the Third Proportional to 401,942.25 and 639,813.38

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Solution

The third proportional to 401,942.25 and 639,813.38 is: 1,018,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,942.25 : 639,813.38 = 639,813.38 : x
  2. Step 2: Convert to fraction form
    401,942.25/639,813.38 = 639,813.38/x
  3. Step 3: Cross multiply
    401,942.25x = 639,813.38 × 639,813.38
  4. Step 4: Simplify right side
    401,942.25x = 409,361,154,828.89
  5. Step 5: Solve for x
    x = 409,361,154,828.89/401,942.25
  6. Step 6: Final answer
    x = 1,018,457.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.