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Finding the Third Proportional to 378,410 and 585,974

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Solution

The third proportional to 378,410 and 585,974 is: 907,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,410 : 585,974 = 585,974 : x
  2. Step 2: Convert to fraction form
    378,410/585,974 = 585,974/x
  3. Step 3: Cross multiply
    378,410x = 585,974 × 585,974
  4. Step 4: Simplify right side
    378,410x = 343,365,528,676
  5. Step 5: Solve for x
    x = 343,365,528,676/378,410
  6. Step 6: Final answer
    x = 907,390.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.