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Finding the Third Proportional to 145,792.50 and 313,945

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Solution

The third proportional to 145,792.50 and 313,945 is: 676,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792.50 : 313,945 = 313,945 : x
  2. Step 2: Convert to fraction form
    145,792.50/313,945 = 313,945/x
  3. Step 3: Cross multiply
    145,792.50x = 313,945 × 313,945
  4. Step 4: Simplify right side
    145,792.50x = 98,561,463,025
  5. Step 5: Solve for x
    x = 98,561,463,025/145,792.50
  6. Step 6: Final answer
    x = 676,039.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.