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Finding the Third Proportional to 431,644.50 and 639,094.50

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Solution

The third proportional to 431,644.50 and 639,094.50 is: 946,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,644.50 : 639,094.50 = 639,094.50 : x
  2. Step 2: Convert to fraction form
    431,644.50/639,094.50 = 639,094.50/x
  3. Step 3: Cross multiply
    431,644.50x = 639,094.50 × 639,094.50
  4. Step 4: Simplify right side
    431,644.50x = 408,441,779,930.25
  5. Step 5: Solve for x
    x = 408,441,779,930.25/431,644.50
  6. Step 6: Final answer
    x = 946,245.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.