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Finding the Third Proportional to 398,830 and 598,536

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Solution

The third proportional to 398,830 and 598,536 is: 898,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,830 : 598,536 = 598,536 : x
  2. Step 2: Convert to fraction form
    398,830/598,536 = 598,536/x
  3. Step 3: Cross multiply
    398,830x = 598,536 × 598,536
  4. Step 4: Simplify right side
    398,830x = 358,245,343,296
  5. Step 5: Solve for x
    x = 358,245,343,296/398,830
  6. Step 6: Final answer
    x = 898,240.71

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