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Finding the Third Proportional to 369,558 and 557,665

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Solution

The third proportional to 369,558 and 557,665 is: 841,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,558 : 557,665 = 557,665 : x
  2. Step 2: Convert to fraction form
    369,558/557,665 = 557,665/x
  3. Step 3: Cross multiply
    369,558x = 557,665 × 557,665
  4. Step 4: Simplify right side
    369,558x = 310,990,252,225
  5. Step 5: Solve for x
    x = 310,990,252,225/369,558
  6. Step 6: Final answer
    x = 841,519.47

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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.