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Finding the Third Proportional to 261,996.75 and 405,796.50

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Solution

The third proportional to 261,996.75 and 405,796.50 is: 628,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,996.75 : 405,796.50 = 405,796.50 : x
  2. Step 2: Convert to fraction form
    261,996.75/405,796.50 = 405,796.50/x
  3. Step 3: Cross multiply
    261,996.75x = 405,796.50 × 405,796.50
  4. Step 4: Simplify right side
    261,996.75x = 164,670,799,412.25
  5. Step 5: Solve for x
    x = 164,670,799,412.25/261,996.75
  6. Step 6: Final answer
    x = 628,522.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.