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Finding the Third Proportional to 515,446 and 757,722

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Solution

The third proportional to 515,446 and 757,722 is: 1,113,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,446 : 757,722 = 757,722 : x
  2. Step 2: Convert to fraction form
    515,446/757,722 = 757,722/x
  3. Step 3: Cross multiply
    515,446x = 757,722 × 757,722
  4. Step 4: Simplify right side
    515,446x = 574,142,629,284
  5. Step 5: Solve for x
    x = 574,142,629,284/515,446
  6. Step 6: Final answer
    x = 1,113,875.42

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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.