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Finding the Third Proportional to 142,083 and 313,809.75

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Solution

The third proportional to 142,083 and 313,809.75 is: 693,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083 : 313,809.75 = 313,809.75 : x
  2. Step 2: Convert to fraction form
    142,083/313,809.75 = 313,809.75/x
  3. Step 3: Cross multiply
    142,083x = 313,809.75 × 313,809.75
  4. Step 4: Simplify right side
    142,083x = 98,476,559,195.06
  5. Step 5: Solve for x
    x = 98,476,559,195.06/142,083
  6. Step 6: Final answer
    x = 693,091.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.