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Finding the Third Proportional to 336,591 and 743,139

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Solution

The third proportional to 336,591 and 743,139 is: 1,640,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,591 : 743,139 = 743,139 : x
  2. Step 2: Convert to fraction form
    336,591/743,139 = 743,139/x
  3. Step 3: Cross multiply
    336,591x = 743,139 × 743,139
  4. Step 4: Simplify right side
    336,591x = 552,255,573,321
  5. Step 5: Solve for x
    x = 552,255,573,321/336,591
  6. Step 6: Final answer
    x = 1,640,731.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.