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Finding the Third Proportional to 639,717.75 and 959,877.56

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Solution

The third proportional to 639,717.75 and 959,877.56 is: 1,440,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,717.75 : 959,877.56 = 959,877.56 : x
  2. Step 2: Convert to fraction form
    639,717.75/959,877.56 = 959,877.56/x
  3. Step 3: Cross multiply
    639,717.75x = 959,877.56 × 959,877.56
  4. Step 4: Simplify right side
    639,717.75x = 921,364,934,990.94
  5. Step 5: Solve for x
    x = 921,364,934,990.94/639,717.75
  6. Step 6: Final answer
    x = 1,440,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.