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Finding the Third Proportional to 378,264 and 585,672

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Solution

The third proportional to 378,264 and 585,672 is: 906,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,264 : 585,672 = 585,672 : x
  2. Step 2: Convert to fraction form
    378,264/585,672 = 585,672/x
  3. Step 3: Cross multiply
    378,264x = 585,672 × 585,672
  4. Step 4: Simplify right side
    378,264x = 343,011,691,584
  5. Step 5: Solve for x
    x = 343,011,691,584/378,264
  6. Step 6: Final answer
    x = 906,805.01

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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.