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Finding the Third Proportional to 398,937.38 and 598,406.63

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Solution

The third proportional to 398,937.38 and 598,406.63 is: 897,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,937.38 : 598,406.63 = 598,406.63 : x
  2. Step 2: Convert to fraction form
    398,937.38/598,406.63 = 598,406.63/x
  3. Step 3: Cross multiply
    398,937.38x = 598,406.63 × 598,406.63
  4. Step 4: Simplify right side
    398,937.38x = 358,090,488,843.89
  5. Step 5: Solve for x
    x = 358,090,488,843.89/398,937.38
  6. Step 6: Final answer
    x = 897,610.78

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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.