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Finding the Third Proportional to 499,289.06 and 811,179.56

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Solution

The third proportional to 499,289.06 and 811,179.56 is: 1,317,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,289.06 : 811,179.56 = 811,179.56 : x
  2. Step 2: Convert to fraction form
    499,289.06/811,179.56 = 811,179.56/x
  3. Step 3: Cross multiply
    499,289.06x = 811,179.56 × 811,179.56
  4. Step 4: Simplify right side
    499,289.06x = 658,012,282,617.69
  5. Step 5: Solve for x
    x = 658,012,282,617.69/499,289.06
  6. Step 6: Final answer
    x = 1,317,898.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.