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Finding the Third Proportional to 429,014.50 and 641,253.50

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Solution

The third proportional to 429,014.50 and 641,253.50 is: 958,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,014.50 : 641,253.50 = 641,253.50 : x
  2. Step 2: Convert to fraction form
    429,014.50/641,253.50 = 641,253.50/x
  3. Step 3: Cross multiply
    429,014.50x = 641,253.50 × 641,253.50
  4. Step 4: Simplify right side
    429,014.50x = 411,206,051,262.25
  5. Step 5: Solve for x
    x = 411,206,051,262.25/429,014.50
  6. Step 6: Final answer
    x = 958,489.87

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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.