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Finding the Third Proportional to 380,385 and 588,672

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Solution

The third proportional to 380,385 and 588,672 is: 911,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,385 : 588,672 = 588,672 : x
  2. Step 2: Convert to fraction form
    380,385/588,672 = 588,672/x
  3. Step 3: Cross multiply
    380,385x = 588,672 × 588,672
  4. Step 4: Simplify right side
    380,385x = 346,534,723,584
  5. Step 5: Solve for x
    x = 346,534,723,584/380,385
  6. Step 6: Final answer
    x = 911,010.49

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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.