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Finding the Third Proportional to 355,953 and 757,122

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Solution

The third proportional to 355,953 and 757,122 is: 1,610,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,953 : 757,122 = 757,122 : x
  2. Step 2: Convert to fraction form
    355,953/757,122 = 757,122/x
  3. Step 3: Cross multiply
    355,953x = 757,122 × 757,122
  4. Step 4: Simplify right side
    355,953x = 573,233,722,884
  5. Step 5: Solve for x
    x = 573,233,722,884/355,953
  6. Step 6: Final answer
    x = 1,610,419.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.