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Finding the Third Proportional to 515,161 and 757,842

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Solution

The third proportional to 515,161 and 757,842 is: 1,114,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,161 : 757,842 = 757,842 : x
  2. Step 2: Convert to fraction form
    515,161/757,842 = 757,842/x
  3. Step 3: Cross multiply
    515,161x = 757,842 × 757,842
  4. Step 4: Simplify right side
    515,161x = 574,324,496,964
  5. Step 5: Solve for x
    x = 574,324,496,964/515,161
  6. Step 6: Final answer
    x = 1,114,844.67

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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.