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Finding the Third Proportional to 398,988 and 599,454

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Solution

The third proportional to 398,988 and 599,454 is: 900,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,988 : 599,454 = 599,454 : x
  2. Step 2: Convert to fraction form
    398,988/599,454 = 599,454/x
  3. Step 3: Cross multiply
    398,988x = 599,454 × 599,454
  4. Step 4: Simplify right side
    398,988x = 359,345,098,116
  5. Step 5: Solve for x
    x = 359,345,098,116/398,988
  6. Step 6: Final answer
    x = 900,641.37

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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.