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Finding the Third Proportional to 337,640 and 515,035

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Solution

The third proportional to 337,640 and 515,035 is: 785,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,640 : 515,035 = 515,035 : x
  2. Step 2: Convert to fraction form
    337,640/515,035 = 515,035/x
  3. Step 3: Cross multiply
    337,640x = 515,035 × 515,035
  4. Step 4: Simplify right side
    337,640x = 265,261,051,225
  5. Step 5: Solve for x
    x = 265,261,051,225/337,640
  6. Step 6: Final answer
    x = 785,632.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.