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Finding the Third Proportional to 255,925.50 and 401,434.88

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Solution

The third proportional to 255,925.50 and 401,434.88 is: 629,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,925.50 : 401,434.88 = 401,434.88 : x
  2. Step 2: Convert to fraction form
    255,925.50/401,434.88 = 401,434.88/x
  3. Step 3: Cross multiply
    255,925.50x = 401,434.88 × 401,434.88
  4. Step 4: Simplify right side
    255,925.50x = 161,149,958,866.27
  5. Step 5: Solve for x
    x = 161,149,958,866.27/255,925.50
  6. Step 6: Final answer
    x = 629,675.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.