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Finding the Third Proportional to 618,823.69 and 984,670.88

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Solution

The third proportional to 618,823.69 and 984,670.88 is: 1,566,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,823.69 : 984,670.88 = 984,670.88 : x
  2. Step 2: Convert to fraction form
    618,823.69/984,670.88 = 984,670.88/x
  3. Step 3: Cross multiply
    618,823.69x = 984,670.88 × 984,670.88
  4. Step 4: Simplify right side
    618,823.69x = 969,576,732,073.27
  5. Step 5: Solve for x
    x = 969,576,732,073.27/618,823.69
  6. Step 6: Final answer
    x = 1,566,806.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.