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Finding the Third Proportional to 225,810.75 and 309,642.75

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Solution

The third proportional to 225,810.75 and 309,642.75 is: 424,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810.75 : 309,642.75 = 309,642.75 : x
  2. Step 2: Convert to fraction form
    225,810.75/309,642.75 = 309,642.75/x
  3. Step 3: Cross multiply
    225,810.75x = 309,642.75 × 309,642.75
  4. Step 4: Simplify right side
    225,810.75x = 95,878,632,627.56
  5. Step 5: Solve for x
    x = 95,878,632,627.56/225,810.75
  6. Step 6: Final answer
    x = 424,597.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.