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Finding the Third Proportional to 476,536 and 737,196

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Solution

The third proportional to 476,536 and 737,196 is: 1,140,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,536 : 737,196 = 737,196 : x
  2. Step 2: Convert to fraction form
    476,536/737,196 = 737,196/x
  3. Step 3: Cross multiply
    476,536x = 737,196 × 737,196
  4. Step 4: Simplify right side
    476,536x = 543,457,942,416
  5. Step 5: Solve for x
    x = 543,457,942,416/476,536
  6. Step 6: Final answer
    x = 1,140,434.18

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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.