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Finding the Third Proportional to 398,844 and 598,557

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Solution

The third proportional to 398,844 and 598,557 is: 898,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,844 : 598,557 = 598,557 : x
  2. Step 2: Convert to fraction form
    398,844/598,557 = 598,557/x
  3. Step 3: Cross multiply
    398,844x = 598,557 × 598,557
  4. Step 4: Simplify right side
    398,844x = 358,270,482,249
  5. Step 5: Solve for x
    x = 358,270,482,249/398,844
  6. Step 6: Final answer
    x = 898,272.21

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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.