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Finding the Third Proportional to 398,967 and 598,443.75

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Solution

The third proportional to 398,967 and 598,443.75 is: 897,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,967 : 598,443.75 = 598,443.75 : x
  2. Step 2: Convert to fraction form
    398,967/598,443.75 = 598,443.75/x
  3. Step 3: Cross multiply
    398,967x = 598,443.75 × 598,443.75
  4. Step 4: Simplify right side
    398,967x = 358,134,921,914.06
  5. Step 5: Solve for x
    x = 358,134,921,914.06/398,967
  6. Step 6: Final answer
    x = 897,655.50

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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.