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Finding the Third Proportional to 481,423.50 and 687,649.50

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Solution

The third proportional to 481,423.50 and 687,649.50 is: 982,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,423.50 : 687,649.50 = 687,649.50 : x
  2. Step 2: Convert to fraction form
    481,423.50/687,649.50 = 687,649.50/x
  3. Step 3: Cross multiply
    481,423.50x = 687,649.50 × 687,649.50
  4. Step 4: Simplify right side
    481,423.50x = 472,861,834,850.25
  5. Step 5: Solve for x
    x = 472,861,834,850.25/481,423.50
  6. Step 6: Final answer
    x = 982,215.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.