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Finding the Third Proportional to 515,190 and 757,887

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Solution

The third proportional to 515,190 and 757,887 is: 1,114,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,190 : 757,887 = 757,887 : x
  2. Step 2: Convert to fraction form
    515,190/757,887 = 757,887/x
  3. Step 3: Cross multiply
    515,190x = 757,887 × 757,887
  4. Step 4: Simplify right side
    515,190x = 574,392,704,769
  5. Step 5: Solve for x
    x = 574,392,704,769/515,190
  6. Step 6: Final answer
    x = 1,114,914.31

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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.