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Finding the Third Proportional to 313,908.75 and 681,330.66

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Solution

The third proportional to 313,908.75 and 681,330.66 is: 1,478,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,908.75 : 681,330.66 = 681,330.66 : x
  2. Step 2: Convert to fraction form
    313,908.75/681,330.66 = 681,330.66/x
  3. Step 3: Cross multiply
    313,908.75x = 681,330.66 × 681,330.66
  4. Step 4: Simplify right side
    313,908.75x = 464,211,463,146.06
  5. Step 5: Solve for x
    x = 464,211,463,146.06/313,908.75
  6. Step 6: Final answer
    x = 1,478,810.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.