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Finding the Third Proportional to 378,881 and 585,209

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Solution

The third proportional to 378,881 and 585,209 is: 903,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,881 : 585,209 = 585,209 : x
  2. Step 2: Convert to fraction form
    378,881/585,209 = 585,209/x
  3. Step 3: Cross multiply
    378,881x = 585,209 × 585,209
  4. Step 4: Simplify right side
    378,881x = 342,469,573,681
  5. Step 5: Solve for x
    x = 342,469,573,681/378,881
  6. Step 6: Final answer
    x = 903,897.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.