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Finding the Third Proportional to 398,967.75 and 597,039.75

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Solution

The third proportional to 398,967.75 and 597,039.75 is: 893,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,967.75 : 597,039.75 = 597,039.75 : x
  2. Step 2: Convert to fraction form
    398,967.75/597,039.75 = 597,039.75/x
  3. Step 3: Cross multiply
    398,967.75x = 597,039.75 × 597,039.75
  4. Step 4: Simplify right side
    398,967.75x = 356,456,463,080.06
  5. Step 5: Solve for x
    x = 356,456,463,080.06/398,967.75
  6. Step 6: Final answer
    x = 893,446.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.