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Finding the Third Proportional to 476,124 and 737,838

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Solution

The third proportional to 476,124 and 737,838 is: 1,143,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,124 : 737,838 = 737,838 : x
  2. Step 2: Convert to fraction form
    476,124/737,838 = 737,838/x
  3. Step 3: Cross multiply
    476,124x = 737,838 × 737,838
  4. Step 4: Simplify right side
    476,124x = 544,404,914,244
  5. Step 5: Solve for x
    x = 544,404,914,244/476,124
  6. Step 6: Final answer
    x = 1,143,409.94

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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.