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Finding the Third Proportional to 679,108.50 and 919,014.75

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Solution

The third proportional to 679,108.50 and 919,014.75 is: 1,243,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,108.50 : 919,014.75 = 919,014.75 : x
  2. Step 2: Convert to fraction form
    679,108.50/919,014.75 = 919,014.75/x
  3. Step 3: Cross multiply
    679,108.50x = 919,014.75 × 919,014.75
  4. Step 4: Simplify right side
    679,108.50x = 844,588,110,717.56
  5. Step 5: Solve for x
    x = 844,588,110,717.56/679,108.50
  6. Step 6: Final answer
    x = 1,243,671.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.