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Finding the Third Proportional to 369,684 and 557,154

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Solution

The third proportional to 369,684 and 557,154 is: 839,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,684 : 557,154 = 557,154 : x
  2. Step 2: Convert to fraction form
    369,684/557,154 = 557,154/x
  3. Step 3: Cross multiply
    369,684x = 557,154 × 557,154
  4. Step 4: Simplify right side
    369,684x = 310,420,579,716
  5. Step 5: Solve for x
    x = 310,420,579,716/369,684
  6. Step 6: Final answer
    x = 839,691.68

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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.