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Finding the Third Proportional to 398,868 and 598,579

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Solution

The third proportional to 398,868 and 598,579 is: 898,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,868 : 598,579 = 598,579 : x
  2. Step 2: Convert to fraction form
    398,868/598,579 = 598,579/x
  3. Step 3: Cross multiply
    398,868x = 598,579 × 598,579
  4. Step 4: Simplify right side
    398,868x = 358,296,819,241
  5. Step 5: Solve for x
    x = 358,296,819,241/398,868
  6. Step 6: Final answer
    x = 898,284.19

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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.