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Finding the Third Proportional to 405,820.75 and 633,294.25

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Solution

The third proportional to 405,820.75 and 633,294.25 is: 988,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820.75 : 633,294.25 = 633,294.25 : x
  2. Step 2: Convert to fraction form
    405,820.75/633,294.25 = 633,294.25/x
  3. Step 3: Cross multiply
    405,820.75x = 633,294.25 × 633,294.25
  4. Step 4: Simplify right side
    405,820.75x = 401,061,607,083.06
  5. Step 5: Solve for x
    x = 401,061,607,083.06/405,820.75
  6. Step 6: Final answer
    x = 988,272.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.