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Finding the Third Proportional to 782,816.42 and 1,212,102.45

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Solution

The third proportional to 782,816.42 and 1,212,102.45 is: 1,876,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,816.42 : 1,212,102.45 = 1,212,102.45 : x
  2. Step 2: Convert to fraction form
    782,816.42/1,212,102.45 = 1,212,102.45/x
  3. Step 3: Cross multiply
    782,816.42x = 1,212,102.45 × 1,212,102.45
  4. Step 4: Simplify right side
    782,816.42x = 1,469,192,354,855.67
  5. Step 5: Solve for x
    x = 1,469,192,354,855.67/782,816.42
  6. Step 6: Final answer
    x = 1,876,803.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.