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Finding the Third Proportional to 476,352 and 737,256

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Solution

The third proportional to 476,352 and 737,256 is: 1,141,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,352 : 737,256 = 737,256 : x
  2. Step 2: Convert to fraction form
    476,352/737,256 = 737,256/x
  3. Step 3: Cross multiply
    476,352x = 737,256 × 737,256
  4. Step 4: Simplify right side
    476,352x = 543,546,409,536
  5. Step 5: Solve for x
    x = 543,546,409,536/476,352
  6. Step 6: Final answer
    x = 1,141,060.41

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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.