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Finding the Third Proportional to 515,238 and 757,932

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Solution

The third proportional to 515,238 and 757,932 is: 1,114,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,238 : 757,932 = 757,932 : x
  2. Step 2: Convert to fraction form
    515,238/757,932 = 757,932/x
  3. Step 3: Cross multiply
    515,238x = 757,932 × 757,932
  4. Step 4: Simplify right side
    515,238x = 574,460,916,624
  5. Step 5: Solve for x
    x = 574,460,916,624/515,238
  6. Step 6: Final answer
    x = 1,114,942.84

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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.