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Finding the Third Proportional to 403,155 and 629,262

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Solution

The third proportional to 403,155 and 629,262 is: 982,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,155 : 629,262 = 629,262 : x
  2. Step 2: Convert to fraction form
    403,155/629,262 = 629,262/x
  3. Step 3: Cross multiply
    403,155x = 629,262 × 629,262
  4. Step 4: Simplify right side
    403,155x = 395,970,664,644
  5. Step 5: Solve for x
    x = 395,970,664,644/403,155
  6. Step 6: Final answer
    x = 982,179.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.