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Finding the Third Proportional to 355,216 and 743,272

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Solution

The third proportional to 355,216 and 743,272 is: 1,555,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,216 : 743,272 = 743,272 : x
  2. Step 2: Convert to fraction form
    355,216/743,272 = 743,272/x
  3. Step 3: Cross multiply
    355,216x = 743,272 × 743,272
  4. Step 4: Simplify right side
    355,216x = 552,453,265,984
  5. Step 5: Solve for x
    x = 552,453,265,984/355,216
  6. Step 6: Final answer
    x = 1,555,260.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.