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Finding the Third Proportional to 398,970 and 598,448.25

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Solution

The third proportional to 398,970 and 598,448.25 is: 897,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,970 : 598,448.25 = 598,448.25 : x
  2. Step 2: Convert to fraction form
    398,970/598,448.25 = 598,448.25/x
  3. Step 3: Cross multiply
    398,970x = 598,448.25 × 598,448.25
  4. Step 4: Simplify right side
    398,970x = 358,140,307,928.06
  5. Step 5: Solve for x
    x = 358,140,307,928.06/398,970
  6. Step 6: Final answer
    x = 897,662.25

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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.