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Finding the Third Proportional to 369,648 and 557,100

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Solution

The third proportional to 369,648 and 557,100 is: 839,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,648 : 557,100 = 557,100 : x
  2. Step 2: Convert to fraction form
    369,648/557,100 = 557,100/x
  3. Step 3: Cross multiply
    369,648x = 557,100 × 557,100
  4. Step 4: Simplify right side
    369,648x = 310,360,410,000
  5. Step 5: Solve for x
    x = 310,360,410,000/369,648
  6. Step 6: Final answer
    x = 839,610.68

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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.