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Finding the Third Proportional to 432,958.50 and 644,820.75

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Solution

The third proportional to 432,958.50 and 644,820.75 is: 960,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,958.50 : 644,820.75 = 644,820.75 : x
  2. Step 2: Convert to fraction form
    432,958.50/644,820.75 = 644,820.75/x
  3. Step 3: Cross multiply
    432,958.50x = 644,820.75 × 644,820.75
  4. Step 4: Simplify right side
    432,958.50x = 415,793,799,630.56
  5. Step 5: Solve for x
    x = 415,793,799,630.56/432,958.50
  6. Step 6: Final answer
    x = 960,354.86

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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.