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Finding the Third Proportional to 320,577.75 and 692,003.25

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Solution

The third proportional to 320,577.75 and 692,003.25 is: 1,493,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,577.75 : 692,003.25 = 692,003.25 : x
  2. Step 2: Convert to fraction form
    320,577.75/692,003.25 = 692,003.25/x
  3. Step 3: Cross multiply
    320,577.75x = 692,003.25 × 692,003.25
  4. Step 4: Simplify right side
    320,577.75x = 478,868,498,010.56
  5. Step 5: Solve for x
    x = 478,868,498,010.56/320,577.75
  6. Step 6: Final answer
    x = 1,493,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.