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Finding the Third Proportional to 476,346 and 737,247

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Solution

The third proportional to 476,346 and 737,247 is: 1,141,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,346 : 737,247 = 737,247 : x
  2. Step 2: Convert to fraction form
    476,346/737,247 = 737,247/x
  3. Step 3: Cross multiply
    476,346x = 737,247 × 737,247
  4. Step 4: Simplify right side
    476,346x = 543,533,139,009
  5. Step 5: Solve for x
    x = 543,533,139,009/476,346
  6. Step 6: Final answer
    x = 1,141,046.93

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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.