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Finding the Third Proportional to 369,671 and 557,135

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Solution

The third proportional to 369,671 and 557,135 is: 839,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,671 : 557,135 = 557,135 : x
  2. Step 2: Convert to fraction form
    369,671/557,135 = 557,135/x
  3. Step 3: Cross multiply
    369,671x = 557,135 × 557,135
  4. Step 4: Simplify right side
    369,671x = 310,399,408,225
  5. Step 5: Solve for x
    x = 310,399,408,225/369,671
  6. Step 6: Final answer
    x = 839,663.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.