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Finding the Third Proportional to 397,456 and 590,784

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Solution

The third proportional to 397,456 and 590,784 is: 878,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,456 : 590,784 = 590,784 : x
  2. Step 2: Convert to fraction form
    397,456/590,784 = 590,784/x
  3. Step 3: Cross multiply
    397,456x = 590,784 × 590,784
  4. Step 4: Simplify right side
    397,456x = 349,025,734,656
  5. Step 5: Solve for x
    x = 349,025,734,656/397,456
  6. Step 6: Final answer
    x = 878,149.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.