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Finding the Third Proportional to 429,014 and 641,253

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Solution

The third proportional to 429,014 and 641,253 is: 958,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,014 : 641,253 = 641,253 : x
  2. Step 2: Convert to fraction form
    429,014/641,253 = 641,253/x
  3. Step 3: Cross multiply
    429,014x = 641,253 × 641,253
  4. Step 4: Simplify right side
    429,014x = 411,205,410,009
  5. Step 5: Solve for x
    x = 411,205,410,009/429,014
  6. Step 6: Final answer
    x = 958,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.