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Finding the Third Proportional to 515,166 and 757,851

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Solution

The third proportional to 515,166 and 757,851 is: 1,114,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,166 : 757,851 = 757,851 : x
  2. Step 2: Convert to fraction form
    515,166/757,851 = 757,851/x
  3. Step 3: Cross multiply
    515,166x = 757,851 × 757,851
  4. Step 4: Simplify right side
    515,166x = 574,338,138,201
  5. Step 5: Solve for x
    x = 574,338,138,201/515,166
  6. Step 6: Final answer
    x = 1,114,860.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.