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Finding the Third Proportional to 398,938.50 and 598,693.50

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Solution

The third proportional to 398,938.50 and 598,693.50 is: 898,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,938.50 : 598,693.50 = 598,693.50 : x
  2. Step 2: Convert to fraction form
    398,938.50/598,693.50 = 598,693.50/x
  3. Step 3: Cross multiply
    398,938.50x = 598,693.50 × 598,693.50
  4. Step 4: Simplify right side
    398,938.50x = 358,433,906,942.25
  5. Step 5: Solve for x
    x = 358,433,906,942.25/398,938.50
  6. Step 6: Final answer
    x = 898,469.08

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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.