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Finding the Third Proportional to 397,460 and 590,790

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Solution

The third proportional to 397,460 and 590,790 is: 878,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,460 : 590,790 = 590,790 : x
  2. Step 2: Convert to fraction form
    397,460/590,790 = 590,790/x
  3. Step 3: Cross multiply
    397,460x = 590,790 × 590,790
  4. Step 4: Simplify right side
    397,460x = 349,032,824,100
  5. Step 5: Solve for x
    x = 349,032,824,100/397,460
  6. Step 6: Final answer
    x = 878,158.37

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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.